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chap4 - Motion in Two Dimensions Position and Velocity...

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1 Motion in Two Dimensions Position and Velocity Vectors Average velocity Instantaneous velocity Direction of velocity along line tangent to the path. Speed
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2 Acceleration Vector Average acceleration Instantaneous acceleration As a result of acceleration, speed or direction of v may change, or both . Where Does the Acceleration Vector Point?
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3 Two-dimensional Motion with Constant a Change of velocity at constant acceleration: Do the vector addition by components: Reminder from Chapter 2 for one dimension Two-dimensional Motion with Constant a 2 2 1 t a t v r r i i f arrowrightnosp arrowrightnosp arrowrightnosp arrowrightnosp + + = t a v v i f arrowrightnosp arrowrightnosp arrowrightnosp + =
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4 Derivatives in Components Determine derivatives of vectors by the derivatives of the components Which statement is true? 1 2 3 4 7 14 214 17 1. v 1 could be the instantaneous velocity 2. a 1 could be the instantaneous acceleration 3. v 2 could be the instantaneous velocity 4. a 2 could be the instantaneous acceleration x y
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5 Projectile Motion Assumption: g is constant and air resistance negligible.
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