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: From the given acceleration-time graph, we observe that the acceleration is constant.

Step 2: The velocity-time graph is the integral of the acceleration-time graph with respect to time. Since acceleration is constant, the velocity increases linearly with time.

Step 3: With initial velocity zero, the velocity-time graph is a straight line starting at the origin and increasing with time.