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Vertical motion under gravity.

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Please help with the following problem.

You are standing on a balcony 30 feet off the ground. You want to throw your key to someone on the ground. You throw it angled upward with initial velocity of 55 ft/sec. assume that the acceleration due to gravity is -32 ft/sec/sec.

A) find the position function in terms of time, t.
B) person does not catch key, it falls to ground. how many seconds does it take to reach the ground?
C) After 3 seconds, how high in air is the key?
D) How long has it been if the key is 40 feet in the air?
E) When is velocity 25 ft/sec?

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Solution Summary

Equations of motion under gravity have been used. Step by step calculation is given.

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Problem: You are standing on a balcony 30 feet off the ground. You want to throw your key to someone on the ground. You throw it angled upward with initial velocity of 55 ft/sec. assume that the acceleration due to gravity is -32 ft/sec/sec.

A) find the position function in terms of time, t.
B) person does not catch key, it falls to ground. how many seconds does it take to reach the ...

Purchase this Solution


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