Question

Stan was running on a trail in a wooded area next to his house. He generally runs at a pace of 3 m/s. While Stan was running, he realized he was going to have to pass the person that was running in front of him. To do this, Stan had to run at a pace of 7 m/s for about 2 seconds. What was Stan's acceleration during this time?

Answer 1

Stan's acceleration while increasing his speed from 3 m/s to 7 m/s over 2 seconds was 2 m/s².

Step-by-step explanation:

To find Stan's acceleration when he had to pass another runner, we need to use the formula for acceleration, which is the change in velocity divided by the time taken to change that velocity. Stan increased his speed from 3 m/s to 7 m/s, meaning his change in speed was 7 m/s - 3 m/s = 4 m/s. Since this speed change took place over 2 seconds, we can calculate his acceleration as follows:

Acceleration = Change in velocity / Time = (7 m/s - 3 m/s) / 2 s = 4 m/s / 2 s = 2 m/s².

Therefore, Stan's acceleration during this time was 2 m/s².