Question

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 :

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is C

Step 1: Analyze the Velocity-Time Graph 

The slope of the velocity-time (v-t) graph represents acceleration. From the given plot:

The velocity increases linearly with time, implying constant acceleration.

Step 2: Match with the Acceleration-Time Graph

Since the acceleration is constant, the acceleration-time (a-t) graph must be a horizontal straight line.

Step 3: Conclusion

The correct acceleration-time graph is option (3).