Question

A inclined plane is 10 meter long, a ball rolls on inclined plane with constant acceleration, initially ball is at rest at $t=0$ seconds, if the ball rolls one meter in the first 2 seconds then how far it have rolled at $t=4$ seconds.

• A. 2m
• B. 3m
• C. 4m
• D. 5m
• E. 8m

Answer 1

Answer: (C)

4m

The rolling ball would have a constant acceleration down the inclined plane. Let it be $a$.

Thus $s_1=\frac{1}{2}a{t}_1^2$

$s_2=\frac{1}{2}a{t}_2^2$

$⟹\frac{s_2}{s_1}=\frac{t_2^2}{t_1^2}=\frac{4^2}{2^2}=4$

$⟹s_2=4\times 1m=4m$