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Unformatted text preview: Lecture 5 Kinematics and Gravity Last time • Displacement: Δ x = x fx i x is deFned as the position compared to the origin • Average Velocity: • Instantaneous Velocity v=dx/dt At a given instant, is the slope of the tangent line in the positiontime graph • Average Acceleration: a avg = Δ v/ Δ t • Instantaneous Acceleration a = dv/dt At a given instant, is the slope of the tangent line in the velocitytime graph t x x t x v i f average Δ − = Δ Δ = Last time • Instantaneous Acceleration a = dv/dt At a given instant, is the slope of the tangent line in the velocitytime graph Time derivatives – Why should we care? • As you may see in your studies, there is information encoded in the rate of how a system changes and the acceleration of change Acceleration Example For many years Colonel John P. Stapp, USAF, held the world’s land speed record. He participated in studying whether a jet pilot could survive emergency ejection. On March 19, 1954, he rode a rocketpropelled sled that moved down a track at 632 mi/h. He and the sled were safely brought to rest in 1.40s. (a) Determine the negative acceleration he experienced. Acceleration Example = ( − 632 miles / hr ) 1.4 s ⋅ 1 hr 3600 s ⋅ 1609.3 m 1 mile Lets put this in terms of units of gravity so we can understand the “gforces” the Colonel experienced…...
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This note was uploaded on 01/25/2012 for the course EE ee taught by Professor E during the Spring '11 term at UCSD.
 Spring '11
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