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CalculusQ&A LibraryOn Earth, you can easily shoot a paper clip 64 ft straight up into the air with a rubber band. In t sec after firing, the paper clip is s = 64t - 16t2 ft above your hand.a. How long does it take the paper clip to reach its maximum height? With what velocity does it leave your hand?b. On the moon, the same acceleration will send the paper clip to a height of s = 64t - 2.6t2 ft in t sec. About how long will it take the paper clip to reach its maximum height, and how high will it go?Question

Asked Jan 16, 2020

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On Earth, you can easily shoot a paper clip 64 ft straight up into the air with a rubber band. In t sec after firing, the paper clip is s = 64t - 16t2 ft above your hand.

a. How long does it take the paper clip to reach its maximum height? With what velocity does it leave your hand?

b. On the moon, the same acceleration will send the paper clip to a height of s = 64t - 2.6t2 ft in t sec. About how long will it take the paper clip to reach its maximum height, and how high will it go?

Step 1

#a) We find the velocity of the clip using first derivative.

Step 2

At the highest point v=0

From there find t

Answer(a) : At t=2 seconds the paper clip to reach its maximum height

Step 3

When it leaves my hand then t=0

We have to find v=? a...

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