question_answer

Acceleration-time graph of a body is shown. The Corresponding velocity-time graph of the same body is:

A)   

B)   

C)   

D)  

Correct Answer: C

Solution :

 Key Idea: Rate of change of velocity is acceleration. We know that \[\vec{a}=\frac{d\,\vec{v}}{dt}\] where \[\vec{a}\] is acceleration and \[\vec{v}\] is velocity. In the given graph acceleration is constant for first part of motion. So, velocity increases uniformly. When \[a=0\,\,i.\,e.\,\], \[0=\frac{dv}{dt}\] \[\Rightarrow \] v = constant Thus, we can draw velocity time graph as :