Question

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A car runs at constant speed on a circular
track of radius 10 m taking 3.14 sec on each
lap (round). The average speed & magnitude
of average velocity for each lap is :-
Question Type: Single Correct Type
Velocity 10 m/s sneed = 20 m/s​

Answer 1

Answer:

Average Speed = 20 m/s

Average Velocity = 0 m/s

Explanation:

$\boxed{ \text{Average Speed} = \dfrac{\text{Total Distance}}{\text{Total Time}}}\\\\\\\boxed{ \text{Average Velocity} = \dfrac{\text{Net Displacement}}{\text{Total Time}}}$

According to the question, the car travels a distance equal to the circumference of the track. Calculating the circumference we get:

→ 2πr = 2 × 3.14 × 10 = 62.8 meters

Total Displacement is zero since the initial and final points are the same.

Hence calculating average speed and velocity we get:

$\implies Average\:\: Speed = \dfrac{ 62.8\:m}{3.14\:s}\\\\\boxed{\implies Average \:\: Speed = 20\:m/s}$

Since the net displacement is zero, the average velocity is also 0 m/s.