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WAEC Physics 2022 Paper

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Question : 7

Total: 50

The correct relationship between the displacement, s , of a particle initially at rest in a linear motion and the time, t , is?

$s \alpha t^{-2}$
$s \alpha t^{-1}$
$s \alpha t$
$s \alpha t^2$

Solution:

Concept:

For a particle starting from rest under uniform acceleration, displacement depends on the square of time.

Explanation:

The equation of linear motion is:

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

Since the particle is initially at rest,

u = 0

.

So, the equation becomes:

s = \frac{1}{2}at^2

For constant acceleration

a

,

\frac{1}{2}a

is constant.

Therefore:

s \propto t^2

This matches option D.

Answer:

D.

s \propto t^2

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