# A stunt cyclist needs to make a calculation for an

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A stunt cyclist needs to make a calculation for an upcoming cycle jump. The cyclist is traveling 100 ft/sec toward an inclined ramp which ends 10 feet above a level landing zone. Assume the cyclist maintains a constant speed up the ramp and the ramp is inclined A o (degrees) above horizontal. With the pictured imposed coordinate system, the parametric equations of the cyclist will be: x(t) = 100t cos(A) y(t) = –16t 2 + 100t sin(A) + 10. (These are the parametric equations for the motion of the stunt cyclist.) (a) Calculate the horizontal velocity of the cyclist at time t ; this is the function x'(t) \$\$100· cos ( A ) . (b) What is the horizontal velocity if A =20 degrees? = Practice Another Version
(c) What is the horizontal velocity if A =45 degrees?
(d) Calculate the vertical velocity of the cyclist at time t ; this is the function y'(t) =
(e) What is the vertical velocity if A =20 degrees? (f) What is the vertical velocity if A =45 degrees?
(h) If the cyclist wants to have a maximum height of 35 feet above the landing zone, then the required launch angle is A =