A boy went to market with A speed of 20m/s. he furthur went the equal distance with A speed of 10m/s.find jis average speed and average velocity
Answers
Answer:
The average Velocity and the average speed are both 15 m/s.
Explanation:
Let the first speed be V1
Let the second speed be V2
Average speed = V1 + V2 / 2
= 20 + 10 / 2
= 30 / 2 = 15 m/s. (ans).
Average velocity = Average speed
=15 m/s. (answer).
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Answer :
Given -
- Speed at which boy went to the market = 20 m/s
- Then equal distance was travelled with the speed of 10 m/s
To Find -
- Average Speed and Average velocity ?
Solution -
- Average Speed = Total Distance/Total Time
- Average Velocity = Total Displacement/Total Time
First case :
- Distance assumed as d.
- Speed = 20 m/s
Time 1 = Distance/Speed
⇒ T1 = d/20
Second case :
Distance assumed as d.
Speed = 10 m/s
Time 1 = Distance/Speed
⇒ T1 = d/10
Hence,
➸ Average Speed = (d + d)/(d/20 + d/10)
➸ Average Speed = (d + d)/(d + 2d/20)
➸ Average Speed = (2d)/(3d/20)
➸ Average Speed = (2d)*(20/3d)
➸ Average Speed = 40/3
➸ Average Speed = 13.33 m/s
As, the distance travelled here is equal to the displacement. Hence, average velocity will be equal to average speed.