A body starts from rest and moves with a uniform acceleration of `10ms^(-2)` for 5 seconds. During the next 10 seconds it moves with uniform velocity. Find the total distance travelled by the body (Using graphical analysis).

Answer

A

Explanation

`(4T) a_(A)=(2T)(a_(B))`
`rArr a_(A)=a_(B)/2`
but `a_(B)=(dv_(B))/(dt)`
`=t+t^(2)/2 rArr a_(A)=t/2+t^(2)/4`
At `t=2s`,
`a_(A)=2/2+((2)^(2))/4 1+1=2 ms^(-2)`