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One of the first astronauts who traveled to the moon hit a golf ball on the moon. Suppose that the height h in meters of a ball t seconds af
Question
One of the first astronauts who traveled to the moon hit a golf ball on the moon. Suppose that the height h in meters of a ball t seconds after it is hit is described by h = 0.8t2 + 10t. At what times is the ball at a height of 20 meters? The ball is at a height of 20 meters at seconds and at seconds.
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Mathematics
5 years
2021-08-25T02:54:17+00:00
2021-08-25T02:54:17+00:00 1 Answers
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Answer:v(t) = 24 − 1.6t = 0 ⇒ t =
24
1.6
= 15.
Step-by-step explanation:
velocity: v(t) = ds
dt = 24 − 1.6t (m/s).
acceleration: a(t) = dv
dt = −1.6 (m/s2
).
s(15) = 24 · 15 − 0.8(15)2 = 180.