Question

A body sliding on a smooth inclined plane required $4s$ to reach the bottom, starting from rest at the top. How much time does it take to cover one-fourth the distance starting from rest at the top??

• A. $1s$
• B. $2s$
• C. $4s$
• D. $16s$

Answer 1

The correct option is B $2s$

let $\theta$ be the angle of inclination

distance covered in 4 secs=$s=\frac{1}{2}gsin\theta 4^2$

distance covered in t secs=$\frac{s}{4}=\frac{1}{2}gsin\theta t^2$

dividing both the equations

t=2secs