A particle is moving along a curved path as shown. The distance AB (Path length) is the same as the distance BC (path length). The distance AB is covered at a speed V, and BC at a speed V₂. Calculate the average speed for the entire journey.
Answers
Answer:
refer the attachment
Explanation:
A particle is moving along a curved path as shown. The distance AB (Path length) is the same as the distance BC (path length). The distance AB is covered at a speed V, and BC at a speed V₂. Calculate the average speed for the entire journey.
Given: Distance AB is equal to distance BC
The speed at which path AB is covered = v₁
The speed at which path BC is covered = v₂
To find: Average speed for the entire journey
Solution: Average speed of a body is equal to the total distance covered by the body divided by the total elapsed time.
- Speed is the distance covered by the body per unit of time.
- Total elapsed time is the ratio of total distance by the speed of the body in moving that particular distance.
- Distance is the measurement of the path which the body follows.
Total distance covered by the body = AB + BC
Elapsed time to cover the distance of path AB is t₁ = AB/v₁
Elapsed time to cover the distance of path BC is t₂ = AB/v₂
Total elapsed time = t₁ + t₂
= AB/v₁ + BC/v₂
Therefore, the average speed is given by = total distance covered / total elapsed time =