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**Free Fall Objectives 1.) define free fall**

2.) explain that all falling objects accelerate 3.) agree that all objects fall at the same rate 4.) write the free fall equations

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Free Fall

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**Introduction Free Fall • motion caused only by gravity**

• all objects fall at the same rate - works in a vacuum: area with no air - ignores air resistance Acceleration Due to Gravity is a constant. is called g is = 10 m/s2 on surface of earth is different on the moon, but still constant

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**Free Fall Equations Key**

vv= vertical velocity (in m/s) dv = vertical distance (in meters) g = acceleration due to gravity (10 m/s2) t = time (in seconds)

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**Vertical Velocity Equation**

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**Vertical Distance Equation**

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Time to Fall Equation

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One more free fall

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**Worksheet A Free Fall Equations**

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**1.) How fast will a ball be traveling if it falls for 5 seconds?**

t = 5 seconds g = 10 m/s2 • vv = gt vv = 10(5) vv = 50 m/s Data Equation Math Answer

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**2. An apple falls out of a tree and takes 1**

2. An apple falls out of a tree and takes 1.75 seconds to strike the ground. How high was the apple from the ground? Data Equation Math Answer t = 1.75 seconds g = 10 m/s2 dv = 0.5gt2 dv = 0.5(10)(1.75)2 dv = 0.5(10)(3.06) dv = 0.5(30.6) dv = 15.3 m

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**Data dv = 1000 m g = 10 m/s2 Equation • t = √2dv/g Math**

3. A plane drops a C.A.R.E. package to some needy people in the jungle from a height of 1000 m. How long will it take the package to strike the ground? Data Equation Math Answer dv = 1000 m g = 10 m/s2 • t = √2dv/g t = √2(1000)/10 t = √2000/10 t = √200 t = 14.1 seconds

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**Free Fall Equations Key: vv= vertical velocity (in m/s)**

dv = vertical distance (in meters) g = acceleration due to gravity (10 m/s2) t = time (in seconds) Vertical Velocity Steps 1. Multiply g times time Vertical Distance Steps 1. Square time (multiply by itself) 2. Multiply by g 3. Multiply by 0.5 Time to Fall 1. multiply dv times 2 2. divide by g 3. Press = 4. Press the square root button

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