A body initially at rest is moving with uniform acceleration... | Physics | SolveeIt | Solveeit

Today, August 18

Question

A body initially at rest is moving with uniform acceleration $a$ . Its velocity after $n\, s$ is $v$ . The displacement of the body in $2\, s$ is :

A

$\frac{2v(n-1)}{n}$

B

$\frac{v(n-1)}{n}$

C

$\frac{v(n+1)}{n}$

D

$\frac{2v(n+1)}{n}$

Answer

$\frac{2v(n-1)}{n}$

Explanation

Solution

Displacement in last $2 s=\frac{1}{2} a n^{2}-\frac{1}{2} a(n-2)^{2}=2 a(n-1)$ Acceleration $a=\frac{v}{n},$ $(\because t=n s)$ Displacement in last $2 s=\frac{2 v(n-1)}{n}$