The Flying Zucchini Circus Troupe has a human cannon-
ball act, shooting a performer from a cannon into a spe-
cially padded seat of a turning Ferris wheel. The Ferris
wheel has a radius of 40 feet and rotates counterclockwise at
one revolution per minute. The special seat starts at ground
level. Carefully explain why parametric equations for the
seat are
�
x
=
40 cos(
π
30
t
−
π
2
)
y
=
40
+
40 sin(
π
30
t
−
π
2
)
. The cannon is located
200 feet left of the Ferris wheel with the muzzle 10 feet
above ground. The performer is launched 35 seconds after
the wheel starts turning with an initial velocity of 100 ft/s
at an angle of
π
5
above the horizontal. Carefully explain
why parametric equations for the human cannonball are
�
x
=
(100 cos
π
5
)(
t
−
35)
−
200
y
=−
16(
t
−
35)
2
+
(100 sin
π
5
)(
t
−
35)
+
10
(
t
≥
35)
.
Determine whether the act is safe or the Flying Zucchini
comes down squash.
2 answers
2 answers