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HW6 Position, Velocity, and Acceleration of a Afalling object has the Position s

ID: 1577550 • Letter: H

Question

HW6 Position, Velocity, and Acceleration of a Afalling object has the Position so-2ar2 +w+, a represents the acceleration falling object. Unless told otherwise, a g--32ft/sec, which means we are ignoring air resistance and simply using the effect of gravity. Use this for the following problems. 1. A student drops his phone from his apartment balcony on the fourth floor, which is 36 feet from the ground. Show your work a) What is the position equation? b) What is the velocity equation? c) What is the acceleration equation? d) When does the phone hit the ground? e) With what velocity does the phone hit the ground? PAGE 1 oF2

Explanation / Answer

According to the given problem,

1.) Given,

So = 0 and a = g = 32ft/s2 and vo = 0

Substiute in the equation,

S(t) = 16t2

2.) Using kinamtics,

v(t) = at = 32t

3.) The accelaration remains contant,

a(t) = 32ft/s2

4.) Substitute the S = 36 in 1st problem,

36 = 16t2

t = 1.5 s

5)Substitute t = 1.5s in 2nd problem,

v = 32t

v = 48 ft/s

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