Question

For a body starting from rest and moving with uniform acceleration, the ratio of the distance covered in 1 s, 2 s, 3 s, ... , will be . (where ‘s’ represents seconds)

• A. 1 : 2 : 3 ...
• B. 1 : 4 : 9 …
• C. 1 : 3 : 5 ...
• D. \N

Answer 1

The correct option is B 1 : 4 : 9 …

The second equation of motion is given as:
$s=\mathrm{ut}+\frac{1}{2}{\mathrm{at}}^2$
However, u = 0 since it starts from rest.
It implies that $s=\frac{1}{2}{\mathrm{at}}^2$
Here, the motion is uniformly accelerated.
Therefore, a is constant.
$\Rightarrow s\alpha t^2$
Hence, the distance covered will be in the ratio of 1 : 4 : 9 ...
for the time 1 : 2 : 3 ... seconds, respectively.