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v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x. To create equations for freely falling bodies, simply replace a with g. v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x. v = v 0 + g ∆t ∆x = v 0 ∆t + 1/2 g∆t 2 v 2 = v 0 2 + 2g∆x.

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## v = v 0 + a ∆t ∆x = v 0 ∆t + 1/2 a∆t 2 v 2 = v 0 2 + 2a∆x

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**To create equations for freely falling bodies, simply**replace a with g.**When freely falling bodies start from rest, v0 = 0, so:v = g**∆t∆x = 1/2 g∆t2v2 = 2g∆x**These equations refer to a situation with constant**acceleration due to gravity and no air resistance. Such motion is called free fall.**Example: A ball is dropped froma height of 10 meters. How**long will it be in the air before it strikes the floor?**Example: A ball is thrown vertically upward with a velocity**of 100 m/s. (a) To what height will it rise? (b) How long will it take for the ball to fall back to the earth?**Example: A ball drops from rest and attains a velocity of 62**m/s. How much time has elapsed?**Example: How far did the ball in the previous problem fall**during the third second?

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