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A skier skis down a hill at a speed of 13 meters per second. She accelerates to a speed of 14.5 meters per second in 1.5 seconds. What is her average acceleration during this time?

User Xystum
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Final answer:

The average acceleration of the skier is 1.0 m/s², calculated using the change in velocity over the change in time.

Step-by-step explanation:

The student's question is asking for the average acceleration of a skier who increased her speed from 13 meters per second to 14.5 meters per second in a time interval of 1.5 seconds. To find the average acceleration, we use the formula a = Δv / Δt, where a is acceleration, Δv is the change in velocity (final velocity minus initial velocity), and Δt is the change in time.

So the calculation is a = (14.5 m/s - 13 m/s) / 1.5 s = 1.5 m/s² / 1.5 s = 1.0 m/s². Therefore, the average acceleration of the skier during this time is 1.0 m/s².