A dog is standing at rest. He then sees a cat and takes off after it. After 4.00 seconds, the dog is traveling at 8.00 m/s. What is the dog’s average acceleration during this time?

To calculate the dog's average acceleration, which is the change in velocity over the time taken, the formula a = Δv / Δt is used, resulting in an average acceleration of 2.00 m/s².

Explanation:

The student's question asks about calculating the average acceleration of a dog that starts from rest and reaches a speed of 8.00 m/s in 4.00 seconds. The formula to calculate acceleration (a) is a = Δv / Δt, where Δv is the change in velocity and Δt is the change in time. Here, the velocity changes from 0 m/s to 8.00 m/s, and the time is 4.00 seconds.

Using the formula:

a = Δv / Δt
a = (8.00 m/s - 0 m/s) / 4.00 s
a = 8.00 m/s² / 4.00 s
a = 2.00 m/s²

Therefore, the dog's average acceleration is 2.00 m/s².

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