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 2 2 1 t a t v r r i i f a a a a + + = t a v v i f a a a + =
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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. • Example for two-dimensional motion with constant a Projectile Motion – The Inverted Parabola • Constant velocity motion in horizontal direction.
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This note was uploaded on 09/25/2011 for the course PHYS 131 taught by Professor Bennewitz during the Spring '07 term at McGill.

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

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