A skater increases her velocity from 2.0 m/s forward to 10.0 m/s forward in 3.0 seconds. what is the skaters acceleration?

Answer 1

To find the skater's acceleration, we use the formula:

Acceleration (a) = (Change in Velocity)/(Change in Time)

Given:
Initial velocity (u) = 2.0 m/s
Final velocity (v) = 10.0 m/s
Time taken (t) = 3.0 seconds

Change in Velocity (Δv) = Final velocity - Initial velocity
= v - u
= 10.0 m/s - 2.0 m/s
= 8.0 m/s

Change in Time (Δt) = Time taken
= 3.0 seconds

Now, we can calculate the acceleration:

Acceleration (a) = (Change in Velocity)/(Change in Time)
= Δv/Δt
= 8.0 m/s / 3.0 seconds
≈ 2.67 m/s²

Therefore, the skater's acceleration is approximately 2.67 m/s².