When a baseball is hit by a batter, the height of the ball, h (t), at time t, t=0, is determined by the equation h (t) = - 16t^2+64t+4. If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

Question

Mathematics

Kale Chapman

5 December, 17:05

When a baseball is hit by a batter, the height of the ball, h (t), at time t, t=0, is determined by the equation h (t) = - 16t^2+64t+4. If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

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Answers (1)

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Lorelei Stone · Answer 1

H (t) = - 16t^2 + 64t + 4 ≥ 52

-16t^2 + 64t - 48 ≥ 0

t^2 - 4t + 3 = 0

(t - 1) (t - 3) = 0

t = 1 and t = 3

Therefore, required range of time is 1 ≤ t ≤ 3.