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Published byFelix Quinn Modified over 2 years ago

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Kinematics (Stuff moving) (stuff)

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Daddy

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Definitions

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Mommy Notice no time in this one!

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One more! v t Avg velocity

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Tips for deciphering word problems …at rest, …from rest – not moving at beginning… v 0 = zero!..comes to rest… v f =zero …Travels 10 m in 10 sec… –x f =10m, t=10 s …reaches a maximum height – velocity at h max = zero!

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The Equations!

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Kinematics Examples Drag race –Avg velocity given time and disp –Avg acceleration given final v and disp Motion Graphing –Aircraft Catapult Draw position and acceleration given velocity

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Drag Race 1. A car travels 402.34 meters in 11.963 sec. What is its average velocity? 2. The same car reached 40.73 m/s at the end of the first 201.17 meters. What was its average acceleration?

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Drag Race #1 Unknown: Given: Principle: Equation: Picture: Simplify/Solve/Substitute

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Drag Race #2 Unknown: Given: Principle: Equation: Picture: Simplify/Solve/Substitute

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Aircraft catapult Navy aircraft are launched from the decks of aircraft carriers with a steam powered catapult. The graph shows the velocity of the aircraft as a function of time. Analyze the graph and draw corresponding position and acceleration graphs.

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Aircraft Catapult(v) 50 v(m/s) time(s) 5

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Aircraft Catapult(a) 20 a(m/s 2 ) time(s) 5

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Aircraft Catapult(x) x(m) time(s) 100 5 300 200

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Freefall Same kinematics equations… Just constant acceleration of a=g=9.8 m/s 2 toward mother earth.

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1) A ball is dropped from 10 meters high. How fast is it going when it hits the ground? 2) How long does it take to reach the ground? Freefall Example

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3) A ball is given an upward velocity of 5.0 m/s, what is the maximum height it will reach? 4) How long does it take to reach this max height? Freefall Example

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5) A ball is thrown upward with a velocity of 4.0 m/s. How fast is it going when it hits the ground, 10 meters below where it was thrown from? Freefall Example

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Freefall Cases Downy –Dropping or “spiking” Uppy –Toss up Uppy – downy –Toss up off a ledge, object lands lower than the ledge Establish your coordinate system and be consistent with signs.

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Wrap up Givens Unknowns P&P E –Time or none given S & S & S

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The Equations!

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5) A ball is thrown upward with a velocity of 4.0 m/s. How fast is it going when it hits the ground, 10 meters below where it was thrown from? Freefall Example

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Freefall Cases Downy –Dropping or “spiking” Uppy –Toss up Uppy – downy –Toss up off a ledge, object lands lower than the ledge Establish your coordinate system and be consistent with signs.

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Graphical Look at Motion: displacement – time curve The slope of the curve is the velocity The curved line indicates the velocity is changing Therefore,

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