Pre-Calculus Practice Problem 269

Pre-Calculus Practice Problem 269 - Unit 8, Modeling Motion...

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Unit 8, Modeling Motion using Parametric Equations with Answers Blackline Masters, Advanced Math – Pre-Calculus Page Louisiana Comprehensive Curriculum, Revised 2008 267 1. A skateboarder goes off a ramp at a speed of 15.6 meters per second. The angle of elevation of the ramp is 13.5 , and the ramp's height above the ground is 1.57 meters. a) Give the set of parametric equations for the skater's jump. a) xt y t t t t oo == + + =− + + (.c o s.) ( . ) (.s i n.) . .. . . 156 135 1 2 98 157 152 4 9 364 2 2 and and y = b) Find the horizontal distance along the ground from the ramp to the point he lands. He will land when y = 0. y = 0 when t = 0.954 then x = 15.2(0.954) = 14.5 meters 2. A baseball player hits a fastball at 146.67 ft/sec (100 mph) from shoulder height (5 feet) at an angle of inclination 15 o to the horizontal. a) Write parametric equations to model the path of the project. yt t o o = + (. c o s) _( . sin ) 146 67 15 16 146 67 15 5 2 b) A fence 10 feet high is 400 feet away. Does the ball clear the fence?
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This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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