The velocity- time graph of car moving on a straight track is given below. The car weight 1000kg.
correct acceleration-time graph representing the motion of car is:

Options

A.
B.
C.
D.

Answer

D

Explanation

From v-t graph we can analyze in `t=0` to `t=2` sec slope is positive and constant. Hence acceleration is positive and constant and it is `10/2=ms^(-2)`
Between `t=2` to `t=7` Slope is zero. Between `t=7 to `t3=10` slope is negative and constant. Hence acceleration is negative and constant and its value is `-10/3 ms^(-2)`
Hence the required at graph is (D).