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Motion in A Straight Line question

2017 · Shift 0 · Q66
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Motion in A Straight Line question

2017 · Shift 0 · Q66

JEE MainPhysicsMotion in A Straight LineMCQ+4 / −1
A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?
  1. A
    JEE Main 2017 (Offline) Physics - Motion in a Straight Line Question 101 English Option 1
  2. B
    JEE Main 2017 (Offline) Physics - Motion in a Straight Line Question 101 English Option 2
  3. C
    JEE Main 2017 (Offline) Physics - Motion in a Straight Line Question 101 English Option 3
  4. D
    JEE Main 2017 (Offline) Physics - Motion in a Straight Line Question 101 English Option 4
View written solutionFree

Correct answer: D

  1. Take upward direction as positive.
    When a body is thrown vertically upward with initial velocity uuu, the only acceleration acting on it is gravity downward.

  2. Acceleration is constant and negative.
    Hence, a=−ga=-ga=−g

  3. Use the first equation of motion.
    Velocity after time ttt is v=u+at=u−gtv=u+at=u-gtv=u+at=u−gt

  4. Interpret the equation of the graph.
    The equation v=u−gtv=u-gtv=u−gt is a straight line in the vvv-ttt graph with:

    • intercept on velocity axis =u=u=u
    • constant slope =−g=-g=−g

  5. Important features of the graph.

    • At t=0t=0t=0, v=u>0v=u>0v=u>0
    • As time increases, velocity decreases linearly
    • At the highest point, v=0v=0v=0
    • After that, velocity becomes negative

  6. Therefore:
    The correct vvv vs ttt graph must be a straight line sloping downward uniformly, crossing the time axis once.

So, the correct option is D.

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