p111_lecture2 - Chapter 2 Kinematics in One Dimension My...

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Kinematics in One Dimension Chapter 2 My lecture slides may be found on my website at http://www.physics.ohio-state.edu/~humanic/
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2.4 Equations of Kinematics for Constant Acceleration It is customary to dispense with the use of boldface symbols overdrawn with arrows for the displacement, velocity, and acceleration vectors. We will, however, continue to convey the directions with a plus or minus sign. o o t t ! ! = v v a r r r o o t t ! ! = x x v r r r o o t t x x v ! ! = o o t t v v a ! ! = _ _
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2.4 Equations of Kinematics for Constant Acceleration o o t t x x v ! ! = 0 = o x 0 = o t ( ) t v v t v x o + = = 2 1 Let the object be at the origin when the clock starts. t x v = True for constant acceleration
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2.4 Equations of Kinematics for Constant Acceleration o o t t v v a ! ! = t v v a o ! = o v v at ! = at v v o + = _ a = True for constant acceleration
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2.4 Equations of Kinematics for Constant Acceleration Five kinematic variables: 1. displacement, x 2. acceleration (constant), a 3. final velocity (at time t ), v 4. initial velocity, v o 5. elapsed time, t
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2.4 Equations of Kinematics for Constant Acceleration at v v o + = ( ) ( ) t at v v t v v x o o o + + = + = 2 1 2 1 2 2 1 at t v x o + =
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2.4 Equations of Kinematics for Constant Acceleration ( )( ) ( ) ( ) m 110 s 0 . 8 s m 0 . 2 s 0 . 8 s m 0 . 6 2 2 2 1 2 2 1 + = + = + = at t v x o Boat moving with constant acceleration --> find x
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2.4 Equations of Kinematics for Constant Acceleration Example 6 Catapulting a Jet Find its displacement.
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