A cart of mass m is moving with negligible friction along a track with known speed v1 to the right. It collides with and sticks
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Answer:
1. The average speed of Luis over the 60 s is 1.33 m/s
2. The average velocity of Luis over the 60 s is zero.
Explanation:
1. The average speed can be calculated with the following equation:
Where:
d: is the total distance traveled
t: is the total time = 60 s
The total distance can be calculated by the sum of the distance traveled to the truck (40 m) and the distance traveled to his home (the same 40 m), as follows:
So, the average speed is:
Hence, Luis's average speed over the 60 s is 1.33 m/s.
2. Now, the average velocity is a vector given by:
Where:
: is the final distance traveled (the way to his home) = 40 m
: is the initial distance traveled (the way to his truck) = 40 m
Δt: is the total time = t = 60 s
Given that Luis in his journey, returns to the same starting point (his house), the total displacement is zero, and so the average velocity is also zero:
Therefore, Luis's average velocity over the 60 s is zero.
I hope it helps you!