We can use the formula for acceleration:
a = (v - u) / t
where a is acceleration, v is the final velocity, u is the initial velocity, and t is time. Since the ball is dropped, u = 0. We want to find t, so we can rearrange the formula:
t = (v - u) / a
Plugging in the values:
t = (24.5 m/s - 0 m/s) / 9.8 m/s^2
t = 24.5 m/s / 9.8 m/s^2
t ≈ 2.5 seconds
The ball will take approximately 2.5 seconds to reach a speed of 24.5 m/s.
A ball is dropped from a cliff and has an acceleration of 9.8 m/s2. How long will it take the ball to reach a speed of 24.5 m/s?
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