Question

The distance traveled by a body starting from rest and moving with uniform acceleration is directly proportional to the square of the time.

• A. True
• B. False

Answer 1

The correct option is A True

Step 1: Given data:

A body is starting from rest which means the initial velocity will be zero.

Let the initial velocity be u and uniform acceleration be a,

Step 2: Finding relation of s with t:

By using the 2^nd equation of motion:

$\mathrm{s}=\mathrm{ut}+\frac{1}{2}{\mathrm{at}}^2$

Where u is initial velocity, t is time, s is displacement, and ‘a’ is a constant acceleration.

$$\begin{gathered} \mathrm{s}=\mathrm{ut}+\frac{1}{2}{\mathrm{at}}^2 \\ \mathrm{u}=0 \\ \mathrm{s}=\frac{1}{2}{\mathrm{at}}^2 \\ \mathrm{s}\propto {\mathrm{t}}^2 \end{gathered}$$

Hence, the given statement is true.