chapter3.3-3.4_slides

# chapter3.3-3.4_slides - For two-D motions we must consider...

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9/15/2009 1 For two-D motions, we must consider explicitly the vector nature of displacement, velocity, and acceleration Displacement: - Initially, the object is at position - after time interval , it travels to - therefore, The displacement is f r r r r i f i r t i f r r r Average Velocity (during time interval): - Direction of the average velocity: the same as Instantaneous velocity - direction of instantaneous velocity: along the line that is tangent to the object’s path t r v av t r ) m/s ( t r v t 0 lim Direction of the instantaneous velocity at various instances ) m/s ( v v v

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9/15/2009 2 Average acceleration (during time interval): - Direction of the average acceleration: the same as ( maybe different from the direction of !) Instantaneous acceleration - important : a none zero acceleration does not necessarily leads to change in speed! The object may simply change the direction of its velocity without changing the speed. t v a av t v ) m/s ( 2 t v a t 0 lim v ) m/s ( 2 Constant speed motion along a circle, is not zero! a v v v Projectile motion, special case of two-D motions. The one-D case was discussed in Chapter 2. Demo
9/15/2009 3 Motion can be decomposed in x- and y- (horizontal and vertical) directions They are independent of each other. - Along x-direction: constant speed motion - Along y-direction: constant acceleration ; 0 x x v v 0 x a g a t a v v y y y y ; 0 Acceleration along the y direction does NOT affect the velocity along the x-direction.

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