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Final Velocity after Any Displacement The Last Equation… For now

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The Last Equation If we take the equations that weve looked at so far, and do some mathematical hand waving… We get:

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Example A person pushing a stroller starts from rest, uniformly accelerating at a rate of m/s 2. What is the velocity of the stroller after it has traveled 4.75m?

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Example A person pushing a stroller starts from rest, uniformly accelerating at a rate of m/s 2. What is the velocity of the stroller after it has traveled 4.75m? Givens: a= m/s 2 v i = 0 m/sΔx=4.75 m v f = ?

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Example A person pushing a stroller starts from rest, uniformly accelerating at a rate of m/s 2. What is the velocity of the stroller after it has traveled 4.75m? Givens: a= m/s 2 v i = 0 m/sΔx=4.75 m v f = ?

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Example A person pushing a stroller starts from rest, uniformly accelerating at a rate of m/s 2. What is the velocity of the stroller after it has traveled 4.75m? Givens: a= m/s 2 v i = 0 m/sΔx=4.75 m v f = ?

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Practice Pg. 58 Practice E

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Falling Objects Same Equation, Different Direction

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A new given… When an object falls straight down it is in Free Fall. Objects in Free Fall always have the same acceleration- the acceleration of gravity (g). a= -9.8 m/s 2 (this will ALWAYS be a for a falling object- either thrown up or falling down)

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Positive and Negative Variables that are Negative are in the Downward direction. Variables that are Positive are in the Upward direction. a= -9.8m/s 2 -Δy-Δy

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Example Jason hits a volleyball so that it moves with an initial velocity of 6.0 m/s straight upward. If the volleyball starts from 2.0m above the floor, how long will it be in the air before it strikes the floor?

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Example Jason hits a volleyball so that it moves with an initial velocity of 6.0 m/s straight upward. If the volleyball starts from 2.0m above the floor, how long will it be in the air before it strikes the floor? Givens: a=-9.8m/s2v i =6.0m/sΔy= -2.0mt=?

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Example Jason hits a volleyball so that it moves with an initial velocity of 6.0 m/s straight upward. If the volleyball starts from 2.0m above the floor, how long will it be in the air before it strikes the floor? Givens: a=-9.8m/s2v i =6.0m/sΔy= -2.0mt=? We cant solve for t right away, so use a 2-step process. Step1- Find v f Step 2- Find t

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Practice Pg 63, Practice F

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