# Lecture4 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 4...

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PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 4

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Scalars vs. Vectors Vectors A: (A x , A y ) or |A| & θ Addition/Subtraction Projectile Motion X-direction: a x = 0 (v x = constant) Y-direction: a y =-g Parabolic trajectory Main points of last lecture
Example 3.4a h D θ v 0 The X-component of v is smallest (in magnitude) at: a) A b) B c) C d) Same at all points

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Example 3.4b h D θ v 0 The Y-component of v is smallest (in magnitude) at: a) A b) B c) C d) Same at all points
Example 3.4c h D θ v 0 The acceleration is smallest (in magnitude) at: a) A b) B c) C d) Same at all points

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Range Formula Good for when y f = y i x = v i , x t y = v i , y t ! 1 2 gt 2 = 0 t = 2 v i , y g x = 2 v i , x v i , y g = 2 v i 2 cos " sin g x = v i 2 g sin2
Range Formula Maximum for θ =45 ° R = v i 2 g sin2 !

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Example 3.5a 100 m A softball leaves a bat with an initial velocity of 31.33 m/s. What is the maximum distance one could expect the ball to travel?
Example 3.6 68 m A cannon hurls a projectile which hits a target located on a cliff D=500 m away in the horizontal direction. The cannon is pointed 50 degrees above the horizontal and the muzzle velocity is 75 m/s. Find the height h of the cliff? h D θ v 0

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Relative velocity Velocity always defined relative to reference frame.
a) 5 mph b) 1 mph An airport walkway moves at 3 mph. A man walks at a leisurely pace of 2 mph. a) If he walks on the walkway in the same direction as the walkway, what is his speed as seen from the ground? b) If he walks on the walkway in the opposite

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## This note was uploaded on 07/25/2008 for the course PHY 231 taught by Professor Smith during the Spring '08 term at Michigan State University.

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Lecture4 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 4...

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