Question

The acceleration-time graph of a particle moving in a straight line is shown in the f igure. If the initial velocity of the particle is zero, then the velocity-time graph of the particle will be:

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

The velocity-time graph is the integral of the acceleration-time graph. For constant acceleration, the velocity increases linearly with time.

Answer 1

The Correct Option is D

Step 1: The acceleration-time graph indicates constant acceleration.

Step 2: Velocity is the integral of acceleration over time. Constant acceleration results in a linearly increasing velocity over time.

Step 3: Given an initial velocity of zero, the velocity-time graph is a straight line originating from the origin and increasing over time.