A body starting from rest acclerates uniformly along a st. line , at the rate of `10 ms^(-2)` for 5 s`. It moves for `2 s` with uniform velocoty of `50 ms^(-1)`. The it retards uniformly and comes to rest in 3 s`. Draw velocity-time graph of the and find the total distance travelled by body.

Explanation

Taking the motion of the body from `0 to 5` seconds ` we have
`u=0, v=? A=10 ms^(2) , t=5 s.
As, `v=u +at`
:. `u=0 +10 xx 5 =50 m//s`
The velcity-time graph of the motion to the body is as shown in Fig. 2 (b) .15.
.
Total distance travelled by body during motion
=area of traphizium `OABC`
`1/2 (OC+AB) xx AA_(1)`
`1/2 (10 +2) xx 50 =300 m`.