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WAEC Physics 2023 Paper

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Question : 31

Total: 50

A car,

P

, with a velocity of

30\ \text{m}/\text{s}

is traveling in the same direction as a car,

Q

, with a velocity of

20\ \text{m}/\text{s}

. The velocity of

P

Q

$50\ \mathrm{ms}^1$
$45\ \mathrm{ms}^1$
$20\ \mathrm{ms}^1$
$10\ \mathrm{ms}^1$

Solution:

Concept:

Relative velocity is the velocity of one moving object as observed from the other moving object.

Explanation:

Car

P

and car

Q

are moving in the same direction.

Given:

v_P = 30\ \mathrm{m/s}

and

v_Q = 20\ \mathrm{m/s}

.

For same direction, relative velocity of

P

with respect to

Q

is:

v_{P/Q} = v_P - v_Q

v_{P/Q} = 30 - 20 = 10\ \mathrm{m/s}

So car

P

is moving

10\ \mathrm{m/s}

faster than car

Q

.

Answer:

The velocity of

P

relative to

Q

is

10\ \mathrm{m/s}

, which is Option D.

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