For a velocity increasing uniformly from 0 to 12 m/s over 6 s, what is the average velocity during the interval?

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Multiple Choice

For a velocity increasing uniformly from 0 to 12 m/s over 6 s, what is the average velocity during the interval?

Explanation:
When speed changes at a constant rate, velocity changes linearly, so the average velocity over a time interval is the midpoint between the starting and ending velocities. Here it starts at 0 m/s and ends at 12 m/s, so the average velocity is (0 + 12)/2 = 6 m/s. You can also confirm by looking at the velocity–time graph: the area under the curve is a triangle with base 6 s and height 12 m/s, giving displacement 36 m, and dividing by 6 s gives 6 m/s. So the average velocity during the interval is 6 m/s.

When speed changes at a constant rate, velocity changes linearly, so the average velocity over a time interval is the midpoint between the starting and ending velocities. Here it starts at 0 m/s and ends at 12 m/s, so the average velocity is (0 + 12)/2 = 6 m/s. You can also confirm by looking at the velocity–time graph: the area under the curve is a triangle with base 6 s and height 12 m/s, giving displacement 36 m, and dividing by 6 s gives 6 m/s. So the average velocity during the interval is 6 m/s.

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