...is traveling 100 ft/sec to? 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 Ao (degrees) above horizontal. With the pictured imposed coordinate system, the parametric equations of the cyclist will be:
x(t) = 100t cos(A)
y(t) = –16t2 + 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)=
(b) What is the horizontal velocity if A=20 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?