Final answer:
The ball's average acceleration is calculated using the change in velocity over the change in time. With an initial velocity of 0 m/s and final velocity of 29.4 m/s over 3 seconds, the average acceleration is found to be 9.8 m/s².
Step-by-step explanation:
To calculate the ball's average acceleration, we use the formula:
Acceleration (a) = Δv / Δt
where:
- Δv is the change in velocity (final velocity - initial velocity)
- Δt is the change in time
Since the ball was dropped, the initial velocity (vi) is 0 m/s. After 3.0 seconds (t), the final velocity (vf) is 29.4 m/s. Plugging the values into the formula:
a = (29.4 m/s - 0 m/s) / 3.0 s
a = 29.4 m/s / 3.0 s
a = 9.8 m/s²
Therefore, the ball's average acceleration is 9.8 m/s², which corresponds to the acceleration due to gravity on Earth.