Question

a boy traverses along the circumference of a circle of radius 15 he covers half of the circle in 20 second find his speed and velocity​

Answer 1

Answer:

Speed = 4.7 m/s

Velocity = 1.5 m/s

Explanation:

Given,

Radius = 15m

time = 20 seconds

speed = distance÷time

speed = 2π × 15 ÷ 20

= 4.7m/s

velocity = displacement÷time

= 30÷20

= 1.5m/s

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Answer 2

$\huge {\orange {\bf {\underline {\underline {AnSwer}}}:-}}$

The speed of the boy is 4.7 m/s

The Velocity of the boy is 1.5m/s

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Explaination :-

⟶ Gíven :-

• Radius of the circle = 15m
• time taken = 20 seconds

⟶ To fínd :-

The Speed and Velocity of the boy

⟶ Solutíon :-

we know,

$\longrightarrow \sf speed = \frac{distance}{time}$

Distance = circumference of the circle = 2πr

$\longrightarrow \sf speed = \frac{2 \pi r}{20} \\ \\ \longrightarrow \sf speed = \frac{ \cancel 2 \times \pi \times \cancel {15}}{ \cancel {20}} \\ \\ \longrightarrow \sf speed = \frac{\pi \times 3}{2} \\ \\ \longrightarrow \sf speed = \frac{ \cancel{ 3.14} \times 3}{ \cancel 2} \\ \\ \longrightarrow \boxed {\bf speed = 4.7m {s}^{ - 1} }$

hence, speed is 4.7m/s.

Now, to find Velocity

we know,

$\longrightarrow \bf velocity = \frac{displacement}{time}$

Displacement = diameter of circle = 2r = 15 × 2 = 30m

$\longrightarrow \sf v = \frac{30}{20} \\ \\ \longrightarrow \boxed{ \bf v = 1.5 {ms}^{ - 1} }$

Hence, Velocity is 1.5m/s.