Question

Starting from rest, when a body moves with uniform acceleration, then distances covered after 1st, 2nd, 3rd, ... seconds are in the ratio

• A. 1:2:3:4 ...
• B. 1:4:9:16 ...
• C. 1:3:5:7 ....
• D. 2:3:5:7 ...

Answer 1

The correct option is B 1:4:9:16 ...

Distance $S=ut+a{t}^2/2$, putting the initial velocity $u=0$ we get distance $S=a{t}^2/2$ where $a/2$ is constant because uniform acceleration so distance $S\propto t^2$ so required ratio in distance in consecutive seconds will be of $1^2:2^2:3^2:4^2:....=1:4:9:16:...$

Option B is correct.