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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 we’ve 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/s2. 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/s2. What is the velocity of the stroller after it has traveled 4.75m? Givens: a= m/s2 vi= 0 m/s Δx=4.75 m vf= ?

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Example A person pushing a stroller starts from rest, uniformly accelerating at a rate of m/s2. What is the velocity of the stroller after it has traveled 4.75m? Givens: a= m/s2 vi= 0 m/s Δx=4.75 m vf= ?

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Example A person pushing a stroller starts from rest, uniformly accelerating at a rate of m/s2. What is the velocity of the stroller after it has traveled 4.75m? Givens: a= m/s2 vi= 0 m/s Δx=4.75 m vf= ?

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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/s2 (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/s2 -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/s2 vi=6.0m/s Δy= -2.0m t=?

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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/s2 vi=6.0m/s Δy= -2.0m t=? We can’t solve for t right away, so use a 2-step process. Step1- Find vf Step 2- Find t

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Practice Pg 63, Practice F

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Final Velocity Free Fall 2D Motion

Final Velocity Free Fall 2D Motion

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