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A car accelerates from rest with 2ms^-2 ...

A car accelerates from rest with `2ms^-2` for `2s` and then decelerates constantly with `4ms^-2` for `t_0` second to come to rest. The graph for the motion is shown in figure.

a. Find the maximum speed attained by the car.
b. Find the value of `t_0`.

Text Solution

Verified by Experts

a. Maximum speed of the car will be at `t=2s`, because area is positive till that time.
Change in velocity=Area of a-t graph
`impliesv_(max)-0=2xx2impliesv_(max)=4ms^-1`
b. Since finally the car comes to rest, so both area should be same, `4=t_0xx4impliest_0=1s`
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