Question

Usain Bolt went from a velocity of 8.0 m/s at 3 seconds into his run up to a velocity of 11.0 m/s at 7 seconds into his run. What was his acceleration?

A) 0.75 m/s²
B) 1.0 m/s²
C) 1.5 m/s²
D) 2.0 m/s²

Answer 1

Usain Bolt's acceleration can be calculated by dividing the change in velocity (3.0 m/s) by the change in time (4 seconds), which gives an acceleration of 0.75 m/s². Answer A) 0.75 m/s² is correct.

Step-by-step explanation:

To calculate Usain Bolt's acceleration, we can use the formula for acceleration which is the change in velocity (Δv) divided by the change in time (Δt). The change in velocity is the final velocity minus the initial velocity. Using the given information:

Δv = 11.0 m/s - 8.0 m/s = 3.0 m/s
Δt = 7 seconds - 3 seconds = 4 seconds

Thus, the acceleration (a) is calculated as:

a = Δv / Δt = 3.0 m/s / 4 seconds = 0.75 m/s²

Hence, the correct answer to the student's question is A) 0.75 m/s².