Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Motion in A Straight Line question

2025 · Q153
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Motion in A Straight Line
  5. /2025 · Q153

Motion in A Straight Line question

2025 · Q153

NEETPhysicsMotion in A Straight LineMCQ+4 / −1

Two cities XXX and YYY are connected by a regular bus service with a bus leaving in either direction every TTT min. A girl is driving scooty with a speed of 60 km/h60 \mathrm{~km} / \mathrm{h}60 km/h in the direction XXX to YYY notices that a bus goes past her every 30 minutes in the direction of her motion, and every 10 minutes in the opposite direction. Choose the correct option for the period TTT of the bus service and the speed (assumed constant) of the buses.

  1. A
    10 min,90 km/h10 \mathrm{~min}, 90 \mathrm{~km} / \mathrm{h}10 min,90 km/h
  2. B
    15 min,120 km/h15 \mathrm{~min}, 120 \mathrm{~km} / \mathrm{h}15 min,120 km/h
  3. C
    9 min,40 km/h9 \mathrm{~min}, 40 \mathrm{~km} / \mathrm{h}9 min,40 km/h
  4. D
    25 min,100 km/h25 \mathrm{~min}, 100 \mathrm{~km} / \mathrm{h}25 min,100 km/h
View written solutionFree

Correct answer: B

NEET 2025 Physics - Motion in a Straight Line Question 1 English Explanation

$$\begin{aligned} \& \text { Let velocity of bus }=v \mathrm{~km} / \mathrm{hr} \\ \& \text { Relative velocity of bus w.r.t. scooty }=(v-60) \\ \& \text { Distance between } 2 \text { consecutive buses }=v T \\ \& (v-60) 30=v T \quad\text{.... (i)}\\ \& Y \rightarrow X \\ \& (v+60) 10=v T \quad\text{.... (ii)}\\ \& \text { Equating }(1) \text { and }(2) \\ \& (v-60) 30=(v+60) 10 \\ \& \therefore \quad v=120 \mathrm{~km} / \mathrm{hr} \\ \& T=15 \mathrm{~min} \end{aligned}$$

PreviousNext

More from Motion in A Straight Line

  • The velocity (v)− time (t) plot of the motion of a body is shown below: The acceleration (a)− time (t) graph that best suits this motion is : Includes diagram2024 · MCQ
  • A particle is moving along x-axis with its position (x) varying with time (t) as x=αt4+βt2+γt+δ. The ratio of its initial velocity to its initial acceleration, respectively, is:2024 · MCQ
  • The position of a particle is given by r(t)=4ti^+2t2j^​+5k^ where t is in seconds and r in metre. Find the magnitude and direction of velocity v(t), at t=1 s, with respect…2023 · MCQ
  • A vehicle travels half the distance with speed v and the remaining distance with speed 2v. Its average speed is :2023 · MCQ
  • The position-time (x - t) graph for positive acceleration is2022 · MCQ
  • The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second2022 · MCQ
  • The displacement-time graphs of two moving particles make angles of 30∘ and 45∘ with the x-axis as shown in the figure. The ratio of their respective velocity is Includes diagram2022 · MCQ
  • A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n − 1 to t = n. The the ratio Sn+1​Sn​​ is :2021 · MCQ