First slide
Instantaneous acceleration
Question

The acceleration-time (a-t) graph for a particle moving along a straight line starting from rest is shown in figure. Which of the following graph is the best representation of variation of its velocity (v) with time (t)?

Moderate
Solution

Given acceleration-time graph is shown in figure.


Slope of tangent drawn to the a- t graph is instantaneous velocity of the particle .From the given diagram it is clear that ‘a’ is decreasing with time and becomes zero at some value of t .When a=0 , slope of tangent drawn to the v-t graph must be zero .

These conditions are satisfied by graph (1) .

                                             

                                                             

 

                                                                                      

                

 

              

 

         

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