Two cars start off a race with velocities 2m`//`s and 4m`//`s travel in straight line with uniform acceleration `2m//s^(2) and 1m//s^(2)` respectively. What is the length of the path if they reach the final point at the same time ?

Options

A. `30m`
B. `32m`
C. `20m`
D. `24m`

Answer

D

Explanation

Two cars …………….
`s=4t+(1)/(2)(1)t^(2)=2t+(1)/(2)t^(2)`
`implies 4t+0.5t^(2)=2t+t^(2)`
solving we get
`t = 0 and t = 4 sec`
so, `s = (4xx4)+0.5(4xx4)` , `s = 24m`