Question

Starting from rest, a body takes $4s$ in slipping from top to bottom of an inclined plane. The time taken by the same body in covering one-quarter distance on the same plane from rest will be:

• A. $1s$
• B. $2s$
• C. $4s$
• D. $1.6s$

Answer 1

Answer: (B)

$2s$

$x=1/2a{t}^2$ {Since $u=0$}
Putting $t=4$ seconds, we get:
$x=8a$
Now, $x/4=2a$,
To find out the time taken to travel a distance of $x/4$ on the same plane,
$2a=1/2a{t}^2$
$⟹t^2=4$
$⟹t=2s$.