Final answer:
The acceleration of the ball, which goes from rest to 15m/s in 0.41s, is calculated using the formula a = Δv / Δt. The result is approximately 36.59 m/s², so the correct answer is (A) 36.58 m/s².
Step-by-step explanation:
To find the acceleration of the ball, we will use the formula for acceleration, which is a change in velocity divided by the time it takes for that change to occur. In this case, the ball starts from rest and reaches a velocity of 15 m/s in a time period of 0.41 seconds. The formula to use is: a = Δv / Δt
Where:Since the initial velocity is 0 (ball starts from rest), the change in velocity (Δv) is 15 m/s. The time (Δt) is 0.41 s. Plugging these values into our formula gives us:
a = (15 m/s - 0 m/s) / 0.41 s = 15 m/s / 0.41 s
After calculating the above expression, we find that the acceleration (a) is approximately 36.59 m/s². So the correct answer is (A) 36.58 m/s².