Motion in A Straight Line

115 questions · Physics · JEE Main

Motion in A Straight Line

115 questions · Physics · JEE Main

A person travelling on a straight line moves with a uniform velocity $v_{1}$ for a distance $x$ and with a uniform velocity $v_{2}$ for the next $\frac{3}{2} x$ distance. The average velocity in this motion is $\frac{50}{7} m / s$ …2025 · 2 Apr · Shift 1 · Q75 · Numerical
$Which of the following curves possibly represent one-dimensional motion of a particle?$ Choose the correct answer from the options given below : Includes diagram2025 · 3 Apr · Shift 1 · Q66 · MCQ
A particle moves along the $x$ -axis and has its displacement $x$ varying with time t according to the equation: $x = c_{0} (t^{2} - 2) + c (t - 2)^{2}$ where $c_{0}$ and c are constants of…2025 · 3 Apr · Shift 2 · Q53 · MCQ
The displacement x versus time graph is shown below. (A) The average velocity during 0 to 3 s is $10 m / s$ (B) The average velocity during 3 to 5 s is $0 m / s$ (C) The instantaneous velocity at $t = 2 s$ … Includes diagram2025 · 4 Apr · Shift 2 · Q57 · MCQ
The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ̱ km . Includes diagram2025 · 23 Jan · Shift 1 · Q67 · MCQ
The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between $t = 0$ to $t = 4 s$ ? Includes diagram2025 · 28 Jan · Shift 2 · Q55 · MCQ
Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time t = 0, for the first time. The maximum…2025 · 29 Jan · Shift 2 · Q72 · Numerical
A particle is moving in one dimension (along $x$ axis) under the action of a variable force. It's initial position was $16 m$ right of origin. The variation of its position $(x)$ with time $(t)$ is given as $x=-3 t^3+18 t^2+16…2024 · 1 Feb · Shift 1 · Q84 · Numerical
Train A is moving along two parallel rail tracks towards north with speed $72 km / h$ and train B is moving towards south with speed $108 km / h$ . Velocity of train B with respect to A and velocity of…2024 · 1 Feb · Shift 2 · Q71 · MCQ
A particle initially at rest starts moving from reference point $x = 0$ along $x$ -axis, with velocity $v$ that varies as $v = 4 x m / s$ . The acceleration of the particle is $ms^{- 2}$ .2024 · 1 Feb · Shift 2 · Q83 · Numerical
A body travels $102.5 m$ in $n^{th}$ second and $115.0 m$ in $(n + 2)^{th}$ second. The acceleration is :2024 · 4 Apr · Shift 1 · Q69 · MCQ
A bus moving along a straight highway with speed of $72 km / h$ is brought to halt within $4 s$ after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is …2024 · 4 Apr · Shift 2 · Q83 · Numerical
A body moves on a frictionless plane starting from rest. If $S_{n}$ is distance moved between $t = n - 1$ and $t = n$ and $S_{n - 1}$ is distance moved between $t = n - 2$ and $t = n - 1$ …2024 · 5 Apr · Shift 1 · Q88 · Numerical
A train starting from rest first accelerates uniformly up to a speed of $80 km / h$ for time $t$ , then it moves with a constant speed for time $3 t$ . The average speed of the train for this duration of journey will be…2024 · 6 Apr · Shift 1 · Q78 · MCQ
A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $t_{1}$ . If it is projected vertically downwards from the same point with the same speed, it reaches the ground in $t_{2}$ . Time required to…2024 · 6 Apr · Shift 2 · Q61 · MCQ
A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^{2} = 1 + t^{2}$ . Its acceleration at any time $t$ is $x^{- n}$ where $n =$ .2024 · 6 Apr · Shift 2 · Q85 · Numerical
A particle moving in a straight line covers half the distance with speed $6 m / s$ . The other half is covered in two equal time intervals with speeds $9 m / s$ and $15 m / s$ …2024 · 9 Apr · Shift 1 · Q69 · MCQ
Two cars are travelling towards each other at speed of $20 m s^{- 1}$ each. When the cars are $300 m$ apart, both the drivers apply brakes and the cars retard at the rate of $2 m s^{- 2}$ .…2024 · 9 Apr · Shift 2 · Q63 · MCQ
A body falling under gravity covers two points $A$ and $B$ separated by $80 m$ in $2 s$ . The distance of upper point A from the starting point is $m$ (use $\mathrm{g}=10…2024 · 27 Jan · Shift 2 · Q85 · Numerical
A body starts moving from rest with constant acceleration covers displacement $S_{1}$ in first $(p - 1)$ seconds and $S_{2}$ in first $p$ seconds. The displacement $S_{1} + S_{2}$ will be made in time :2024 · 29 Jan · Shift 1 · Q77 · MCQ
A particle is moving in a straight line. The variation of position ' $x$ ' as a function of time ' $t$ ' is given as $x = (t^{3} - 6 t^{2} + 20 t + 15) m$ . The velocity of the body when its acceleration becomes zero is :2024 · 29 Jan · Shift 2 · Q74 · MCQ
The displacement and the increase in the velocity of a moving particle in the time interval of $t$ to $(t + 1) s$ are $125 m$ and $50 m / s$ , respectively. The distance travelled by the particle in $(t + 2)^{th} s$ …2024 · 30 Jan · Shift 1 · Q88 · Numerical
The relation between time ' $t$ ' and distance ' $x$ ' is $t = α x^{2} + β x$ , where $α$ and $β$ are constants. The relation between acceleration $(a)$ and velocity $(v)$ is :2024 · 31 Jan · Shift 1 · Q65 · MCQ
An object moves with speed $v_{1}, v_{2}$ and $v_{3}$ along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3AB, then average speed of the object will be: Includes diagram2023 · 1 Feb · Shift 1 · Q52 · MCQ
For a train engine moving with speed of $20 ms^{- 1}$ , the driver must apply brakes at a distance of 500 $m$ before the station for the train to come to rest at the station. If the brakes were applied at half of this…2023 · 1 Feb · Shift 2 · Q72 · Numerical
A particle starts with an initial velocity of $10.0 ms^{- 1}$ along $x$ -direction and accelerates uniformly at the rate of $2.0 ms^{- 2}$ . The time taken by the particle to reach the velocity of $60.0 ms^{- 1}$ …2023 · 6 Apr · Shift 2 · Q45 · MCQ
Given below are two statements Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given…2023 · 8 Apr · Shift 2 · Q47 · MCQ
The position-time graphs for two students A and B returning from the school to their homes are shown in figure. (A) A lives closer to the school (B) B lives closer to the school (C) A takes lesser time to reach home (D) A travels faster… Includes diagram2023 · 10 Apr · Shift 1 · Q59 · MCQ
A person travels $x$ distance with velocity $v_{1}$ and then $x$ distance with velocity $v_{2}$ in the same direction. The average velocity of the person is $v$ , then the relation between $v, v_{1}$ and $v_{2}$ will be.2023 · 10 Apr · Shift 2 · Q39 · MCQ
From the $v - t$ graph shown, the ratio of distance to displacement in $25 s$ of motion is: Includes diagram2023 · 11 Apr · Shift 1 · Q63 · MCQ
A ball is thrown vertically upward with an initial velocity of $150 m / s$ . The ratio of velocity after $3 s$ and $5 s$ is $\frac{x + 1}{x}$ . The value of $x$ is . ${$ …2023 · 12 Apr · Shift 1 · Q56 · MCQ
Two trains 'A' and 'B' of length ' $l$ ' and ' $4 l$ ' are travelling into a tunnel of length ' $L$ ' in parallel tracks from opposite directions with velocities $108 km / h$ and $72 km / h$ ,…2023 · 13 Apr · Shift 1 · Q57 · MCQ
The distance travelled by an object in time $t$ is given by $s = (2.5) t^{2}$ . The instantaneous speed of the object at $t = 5 s$ will be:2023 · 13 Apr · Shift 2 · Q44 · MCQ
A passenger sitting in a train A moving at $90 km / h$ observes another train $B$ moving in the opposite direction for $8 s$ . If the velocity of the train B is $54 km / h$ , then…2023 · 13 Apr · Shift 2 · Q61 · MCQ
The position of a particle related to time is given by $x = (5 t^{2} - 4 t + 5) m$ . The magnitude of velocity of the particle at $t = 2 s$ will be :2023 · 15 Apr · Shift 1 · Q46 · MCQ
The velocity time graph of a body moving in a straight line is shown in the figure. The ratio of displacement to distance travelled by the body in time 0 to 10s is : Includes diagram2023 · 24 Jan · Shift 2 · Q46 · MCQ
A car travels a distance of ' $x$ ' with speed $v_{1}$ and then same distance ' $x$ ' with speed $v_{2}$ in the same direction. The average speed of the car is :2023 · 25 Jan · Shift 1 · Q55 · MCQ
The distance travelled by a particle is related to time t as $x = 4 t^{2}$ . The velocity of the particle at t=5s is :-2023 · 25 Jan · Shift 2 · Q49 · MCQ
A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact with the floor for 0.2s. The average acceleration during contact is ms $^{- 2}$ . (Given g = 10…2023 · 29 Jan · Shift 1 · Q73 · Numerical
Match Column-I with Column-II : Choose the correct answer from the options given below: Includes table Includes diagram2023 · 30 Jan · Shift 1 · Q55 · MCQ
A horse rider covers half the distance with $5 m / s$ speed. The remaining part of the distance was travelled with speed $10 m / s$ for half the time and with speed $15 m / s$ for…2023 · 30 Jan · Shift 1 · Q64 · Numerical
A vehicle travels $4 km$ with speed of $3 km / h$ and another $4 km$ with speed of $5 km / h$ , then its average speed is2023 · 30 Jan · Shift 2 · Q45 · MCQ
From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5 s. A third ball released, from the…2022 · 24 Jun · Shift 1 · Q67 · Numerical
A car is moving with speed of $150 km / h$ and after applying the break it will move $27 m$ before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after…2022 · 25 Jul · Shift 1 · Q61 · Numerical
A particle is moving in a straight line such that its velocity is increasing at 5 ms $-$ 1 per meter. The acceleration of the particle is ms $-$ 2 at a point where its velocity is 20 ms $-$ 1.2022 · 25 Jul · Shift 2 · Q63 · Numerical
Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by $X_{P} (t) = α t + β t^{2}$ and $X_{Q} (t) = f t - t^{2}$ . At what time, both the buses have same velocity?2022 · 25 Jun · Shift 2 · Q47 · MCQ
A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is m. [Use g = 10 m/s2]2022 · 26 Jun · Shift 1 · Q60 · Numerical
A ball is projected vertically upward with an initial velocity of 50 ms $-$ 1 at t = 0s. At t = 2s, another ball is projected vertically upward with same velocity. At t = s, second ball will meet the first ball…2022 · 26 Jun · Shift 2 · Q64 · Numerical
A bullet is shot vertically downwards with an initial velocity of $100 m / s$ from a certain height. Within 10 s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision.…2022 · 27 Jul · Shift 1 · Q48 · MCQ
The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside…2022 · 27 Jul · Shift 2 · Q45 · MCQ
A NCC parade is going at a uniform speed of $9 km / h$ under a mango tree on which a monkey is sitting at a height of $19.6 m$ . At any particular instant, the monkey drops a mango. A cadet will receive the…2022 · 28 Jul · Shift 1 · Q48 · MCQ
A ball is thrown vertically upwards with a velocity of $19.6 ms^{- 1}$ from the top of a tower. The ball strikes the ground after $6 s$ . The height from the ground up to which the ball can rise will be $(\frac{k}{5}) m$ …2022 · 28 Jul · Shift 2 · Q57 · Numerical
A car covers AB distance with first one-third at velocity v1 ms $-$ 1, second one-third at v2 ms $-$ 1 and last one-third at v3 ms $-$ 1. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms $-$ 1 then the average velocity of the car is … Includes diagram2022 · 28 Jun · Shift 2 · Q77 · Numerical
A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height $\frac{h}{3}$ while going up and coming down respectively.2022 · 29 Jul · Shift 1 · Q49 · MCQ
If $t = x + 4$ , then $(\frac{d x}{d t})_{t = 4}$ is :2022 · 29 Jul · Shift 1 · Q50 · MCQ
A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach…2022 · 29 Jul · Shift 2 · Q50 · MCQ
A ball is released from a height h. If $t_{1}$ and $t_{2}$ be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between $t_{1}$ and $t_{2}$ .2022 · 29 Jul · Shift 2 · Q55 · MCQ
Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is thrown vertically down with an initial velocity 'u' at t = 2 s. After a certain time, both balls meet 100 m above the…2022 · 29 Jun · Shift 1 · Q42 · MCQ
A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t s, the distance travelled by the toy in the next t s will be :2022 · 29 Jun · Shift 2 · Q44 · MCQ
The velocity-displacement graph describing the motion of bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by : Includes diagram2021 · 16 Mar · Shift 1 · Q45 · MCQ
A car accelerates from rest at a constant rate $α$ for some time after which it decelerates at a constant rate $β$ to come to rest. If the total time elapsed is t seconds, the total distance travelled is :2021 · 17 Mar · Shift 1 · Q50 · MCQ
The velocity of a particle is v = v0 + gt + Ft2. Its position is x = 0 at t = 0; then its displacement after time (t = 1) is :2021 · 17 Mar · Shift 2 · Q54 · MCQ
A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising to $\frac{81}{100}$ of the height through which it falls. Find the average speed of the ball. (Take g = 10 ms $-$ 2)2021 · 17 Mar · Shift 2 · Q55 · MCQ
The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :2021 · 18 Mar · Shift 1 · Q55 · MCQ
The velocity $-$ displacement graph of a particle is shown in the figure. The acceleration $-$ displacement graph of the same particle is represented by : Includes diagram2021 · 18 Mar · Shift 2 · Q52 · MCQ
A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1. If he remains stationary on a moving escalator then the escalator takes him up in time t2. The time taken by him to…2021 · 20 Jul · Shift 2 · Q47 · MCQ
If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph? Includes diagram2021 · 24 Feb · Shift 1 · Q57 · MCQ
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is :2021 · 25 Feb · Shift 1 · Q54 · MCQ
A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :2021 · 25 Feb · Shift 2 · Q66 · MCQ
Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g = 9.8 m/s2)2021 · 25 Jul · Shift 1 · Q60 · MCQ
The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The retardation of the motion is : (When v stands for velocity)2021 · 25 Jul · Shift 2 · Q47 · MCQ
A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the…2021 · 25 Jul · Shift 2 · Q53 · MCQ
The instantaneous velocity of a particle moving in a straight line is given as $V = α t + β t^{2}$ , where $α$ and $β$ are constants. The distance travelled by the particle between 1s and 2s is :2021 · 25 Jul · Shift 2 · Q60 · MCQ
Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35 m/s, then these balls collide at a height of ............... m.…2021 · 26 Aug · Shift 1 · Q65 · Numerical
A scooter accelerates from rest for time t1 at constant rate a1 and then retards at constant rate a2 for time t2 and comes to rest. The correct value of $\frac{t _{1}}{t _{2}}$ wil be :2021 · 26 Feb · Shift 2 · Q51 · MCQ
If the velocity of a body related to displacement x is given by $υ = 5000 + 24 x$ m/s, then the acceleration of the body is .................... m/s2.2021 · 27 Aug · Shift 1 · Q63 · Numerical
Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the…2021 · 27 Aug · Shift 2 · Q44 · MCQ
A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times of the ball reaching $\frac{h}{3}$ in both the directions.2021 · 27 Jul · Shift 1 · Q62 · MCQ
A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x(displacement) plot. The acceleration of the particle is m/s2. Includes diagram2021 · 31 Aug · Shift 2 · Q65 · Numerical
Train A and train B are running on parallel tracks in the opposite directions with speeds of 36 km/hour and 72 km/hour, respectively. A person is walking in train A in the direction opposite to its motion with a speed of 1.8 km/ hour.…2020 · 2 Sep · Shift 1 · Q45 · MCQ
A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height $\frac{h}{2}$ . The velocity versus height of the ball during its motion may be represented graphically by : (graph are…2020 · 4 Sep · Shift 1 · Q40 · MCQ
The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t = 0 to t = 5 s will be . Includes diagram2020 · 4 Sep · Shift 2 · Q50 · Numerical
A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is at a height h. The time taken by the packet to reach the ground is close to : [g is the…2020 · 5 Sep · Shift 1 · Q47 · MCQ
The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is : Includes diagram2020 · 5 Sep · Shift 2 · Q39 · MCQ
The distance x covered by a particle in one dimensional motion varies with time t as x2 = at2 + 2bt + c. If the acceleration of the particle depends on x as x–n, where n is an integer, the value of n is 2020 · 9 Jan · Shift 1 · Q46 · Numerical
A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time) Includes diagram2019 · 8 Apr · Shift 2 · Q48 · MCQ
The position vector of a particle changes with time according to the relation $r (t) = 15 t^{2} i + (4 - 20 t^{2}) j$ What is the magnitude of the acceleration at t = 1 ?2019 · 9 Apr · Shift 2 · Q52 · MCQ
The position of a particle as a function of time t, is given by x(t) = at + bt2 – ct3 where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be :2019 · 9 Apr · Shift 2 · Q57 · MCQ
In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed ' $υ$ ' more than that of car B. Both the cars start from rest and travel with constant acceleration a1 and a2…2019 · 9 Jan · Shift 2 · Q54 · MCQ
A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ? Includes diagram2019 · 10 Jan · Shift 2 · Q50 · MCQ
A particle moves from the point $(2.0 i + 4.0 j)$ m, at t = 0, with an initial velocity $(5.0 i + 4.0 j)$ ms $-$ 1. It is acted upon by a constant force which produces a…2019 · 11 Jan · Shift 2 · Q50 · MCQ
A particle is moving with speed v = b $x$ along positive x-axis. Calculate the speed of the particle at time t = $τ$ (assume that the particle is at origin t = 0)2019 · 12 Apr · Shift 2 · Q59 · MCQ
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when : (i) they…2019 · 12 Jan · Shift 1 · Q71 · MCQ
The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in $15 s$ and (ii) the time at which the car will catch up with the scooter are,… Includes diagram2018 · 15 Apr · Shift 1 · Q53 · MCQ
An automobile, travelling at $40$ km/h, can be stopped at a distance of $40$ m by applying brakes. If the same automobile is travelling at $80$ km/h, the minimum stopping distance, in metres, is (assume no skidding) :2018 · 15 Apr · Shift 1 · Q66 · MCQ
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.2018 · Shift 0 · Q66 · MCQ
Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?2017 · 8 Apr · Shift 1 · Q69 · MCQ
A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2 m/s2 and the car has acceleration 4 m/s2 . The car will catch up…2017 · 9 Apr · Shift 1 · Q65 · MCQ
A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?2017 · Shift 0 · Q66 · MCQ
Two stones are thrown up simultaneously from the edge of a cliff $240 m$ high with initial speed of $10 m / s$ and $40 m / s$ respectively. Which of the following graph best represents the time variation of relative position of the second stone…2015 · Shift 0 · Q52 · MCQ
From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path. The relation between H, u and n is:2014 · Shift 0 · Q73 · MCQ
An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by : $\frac{d v}{d t} = - 2.5 v$ where v is the instantaneous speed. The time taken by the object, to come to rest, would be :2011 · Shift 0 · Q78 · MCQ
Consider a rubber ball freely falling from a height $h = 4.9 m$ onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time…2009 · Shift 0 · Q60 · MCQ
A body is at rest at $x = 0.$ At $t = 0,$ it starts moving in the positive $x$ -direction with a constant acceleration. At the same instant another body passes through $x = 0$ moving in the positive $x$ direction with a constant speed. The…2008 · Shift 0 · Q68 · MCQ
The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is2007 · Shift 0 · Q98 · MCQ
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as $v = α x$ . The displacement of the particle varies with time as2006 · Shift 0 · Q122 · MCQ
A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance traversed is 15 S, then2005 · Shift 0 · Q169 · MCQ
The relation between time t and distance x is t = ax2 + bx where a and b are constants. The acceleration is2005 · Shift 0 · Q170 · MCQ
A parachutist after bailing out falls $50 m$ without friction. When parachute opens, it decelerates at $2 m / s^{2} .$ He reaches the ground with a speed of $3 m / s$ . At what height, did he bail out?2005 · Shift 0 · Q172 · MCQ
A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in $\frac{T}{3}$ seconds?2004 · Shift 0 · Q184 · MCQ
An automobile travelling with speed of 60 km/h, can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e 120 km/h, the stopping distance will be2004 · Shift 0 · Q188 · MCQ
A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is2003 · Shift 0 · Q172 · MCQ
The co-ordinates of a moving particle at any time 't' are given by x = $α$ t3 and y = βt3. The speed to the particle at time 't' is given by2003 · Shift 0 · Q174 · MCQ
From a building two balls A and B are thrown such that A is thrown upwards and B downwards ( both vertically with the same speed ). If vA and vB are their respective velocities on reaching the ground, then2002 · Shift 0 · Q169 · MCQ
Speeds of two identical cars are $u$ and $4 u$ at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is :2002 · Shift 0 · Q176 · MCQ