Question

State whether true or false.
If a body starts from rest and moves with uniform acceleration, then the displacement of the body is directly proportional to the time of the journey.

• A. True
• B. False

Answer 1

The correct option is B False

Initial velocity $u=0$

Let the acceleration be $a$.

Displacement of the body $s=ut+\frac{1}{2}a{t}^2$

Or $s=0+\frac{1}{2}a{t}^2$

$⟹s=0.5a{t}^2$

$⟹s\propto t^2$

Here we can see that displacement is directly proportional to the square of time.

Thus, the given statement is false.