Question

Two cars start off to race with velocities $4m/s$ and $2m/s$ and travel in straight line with uniform acceleration $1m/s^2$ and $2m/s^2$ respectively$.$ If they reach the final point at same time$,$ then the length of path is

• A. $24m$
• B. $30m$
• C. $12m$
• D. $45m$

Answer 1

The correct option is A $24m$

$s=4t+\frac{1}{2}\left(1\right)t2$

$=2t+\frac{1}{2}\left(2\right)t^2$

Now$,$

$t=0$ or $t=4s$

Therefore$,$ $4\left(4\right)+\frac{1}{2}\left(1\right){\left(4\right)}^2=24m$

Hence,

option $\left(A\right)$ is correct answer.