Question

A boy is jogging around a circular track of diameter 14 he takes one minute to complete the circle find the average speed and average velocity of the boy

Answer 1

Explanation:

Time = 1min = 60s

Distance = 14 × 60 = 840 m.

Displacement = 0 m.

Average speed = Distance/Time

=840/60

= 14 m/s

Average velocity = Displacement/Time

= 0 m/s

Answer 2

Average speed and average velocity of the boy  is 0.73 m/s and 0 respectively.

Explanation:

It is given that,

Diameter of the circular track, d = 14 m

Radius, r = 7 m

Time, t = 1 min = 60 s

Average speed of the boy is given by total distance divided by total time taken. It is given by :

$s=\dfrac{d}{t}$

On circular path, $d=2\pi r$

$s=\dfrac{2\pi r}{t}$

$s=\dfrac{2\pi \times 7}{60}$

s = 0.73 m/s

When the boy complete the circle, the net displacement is equal to 0. Average velocity of the boy is given by :

$v=\dfrac{d}{t}$

d = 0

v = 0

So, the average speed and average velocity of the boy is 0.73 m/s and 0 respectively. Hence, this is the required solution.

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