Chapt 2

# Chapt 2 - Constant Acceleration 4 Examples of Motion With...

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1 Motion in One Dimension Chapter 2 Distance = Total Path Length Vector Displacement

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2 Average Velocity Pick t 0 0 and get v ave x x 0 - t x x 0 v ave t + v ave x t x f x i - t f t i - or v ave x t x x 0 - t t 0 - Uniform Linear Motion Constant Velocity Example of Uniform Motion in the –x direction
3 Position Versus Time Non-Uniform Motion c Instantaneous velocity is represented by the slope of the curve at any instant in time c Average velocity is given by the (average) slope between x 2 and x 1 c If the motion is uniform v inst = v ave v inst 0 t v ave ( 29 lim 0 t x t lim Acceleration a ave v t v v 0 - t t 0 - Units are m/s 2 For constant acceleration, and we get a ave a v v 0 a t + Examples of Motion With Non-

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Unformatted text preview: Constant Acceleration 4 Examples of Motion With Constant Acceleration Linear Motion Equations for Constant Acceleration c v = v + at c x = x + ½(v + v )t c x = x + v t + ½at 2 c v 2 = v 2 + 2a(x - x ) Example 2.7 5 Example 2.8 Free Fall in a Gravitational Field Vertical Motion Due to the Effect of Gravity (a = -g) g x y c v = v- g · t c y = y + ½ (v + v ) · t c y = y + v t - ½ g · t 2 c v 2 = v 2- 2g · (y - y ) 6 Example 2.11 Problem 2-24 Problem 2-25 7 Problem 104 Problem 2-107...
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Chapt 2 - Constant Acceleration 4 Examples of Motion With...

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