Question

The ratio of the time taken by a body moving with uniform acceleration in reaching two points P and Q along a straight line path is 1 : 2. If the body starts from rest and moves linearly, the ratio of the distance between P and Q from the starting point is:

• A. 4 : 1
• B. 1 : 4
• C. 2 : 3
• D. 3 : 1

Answer 1

The correct option is B 1 : 4

The ratio of time taken is 1 :2,

Using $s=ut+\frac{1}{2}g{t}^2$,

The ratio of distance $\frac{s_1}{s_2}=\frac{\frac{1}{2}g{t}_1^2}{\frac{1}{2}g{t}_2^2}=\frac{t_1^2}{t_2^2}$, ( u=0 given)

$\Rightarrow \frac{s_1}{s_2}=\frac{1}{4}$