These are the parametric equations for the motion of

θ
x
(c) What is the horizontal velocity if A =45 degrees?
(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?
=

$$70.711
(Four decimal places.)
(d) Calculate the vertical velocity of the cyclist at time t ; this is the function y'(t) =
(e) What is the vertical velocity if A =20 degrees? (f) What is the vertical velocity if A =45 degrees?
(Four decimal places.)
(g) The vertical velocity of the cyclist is zero at time
$$3.125 sin ( A )
seconds.
(h) If the cyclist wants to have a maximum height of 35 feet above the landing zone, then the required launch angle is A =
$$23.5782
degrees. (Accurate to four decimal places.)