Chapter04_1-3_FA05

# Chapter04_1-3_FA05 - Chapter 4 Sections 1-3 MAIN CONCEPTS...

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Chapter 4 Sections 1-3 Motion along x axis is independent of motion along y axis. This fact is a result of the properties of vectors and Newton’s laws (coming soon). Motion between the x and y axes is connected by the time variable, t. MAIN CONCEPTS

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Figure 4-1b Constant Velocity NEW NOTATION: subscripts for “x” and “y” axes
Example 4-1 The Eagle Descends Motion in x and y directions is treated independently. ( 29 h h v v x t v h t v x y x y x θ tan 0 0 0 0 = = = =

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Figure 4-3 Independence of Vertical and Horizontal Motions X-motion Y-motion x x v v t v x 0 0 = = gt v v gt t v y y y y - = - + = 0 2 0 0 2 1
Figure 4-2 Acceleration in Free Fall

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Table 4-1 Constant-Acceleration Equations of Motion x = x 0 + v 0 x t + ½ a x t 2 v x = v 0 x + a x t v x 2 = v 0 x 2 + 2 a x x y = y 0 + v 0 y t + ½ a y t 2 v y = v 0 y + a y t v y 2 = v 0 y 2 + 2 a y x Position as a function of time Velocity as a function of time Velocity as a function of position NOTE: The equations are the same, except for the subscript which identifies the axis of motion.
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Chapter04_1-3_FA05 - Chapter 4 Sections 1-3 MAIN CONCEPTS...

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