Unit 8, Modeling Motion using Parametric Equations with Answers Blackline Masters, Advanced Math – Pre-Calculus Page Louisiana Comprehensive Curriculum, Revised 2008 2671. 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)xtyttttoo==−++=−++(.cos.)(.)(.sin.) .....15613512981571524 936422and 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 15oto the horizontal. a) Write parametric equations to model the path of the project. yttoo=+(.cos)_(.sin)146 671516146 671552b) 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.