ball is located as in the picture below. The ball follows a straight line path and exits the green at the rightmost edge. Assume
the ball travels
12
ft/sec. Introduce coordinates so that the cup is the origin of an
xy
coordinate system. Provide numerical
answers below with two decimal places of accuracy.
(a) The
x
coordinate of the position where the ball enters the green will be
.
T
F
(b) The ball will exit the green exactly
(c) Suppose that
L
is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let
Q
be the
point where the line is tangent to the circle. Notice that there are two possible positions for
Q
. Find the possible
x
coordinates of Q:

12/14/16, 4(17 PM
hw02S2.1
7.
4/4 points 
Previous Answers
A Ferris wheel of radius 100 feet is rotating at a constant angular speed
ω
rad/sec counterclockwise. Using a stopwatch, the rider
finds it takes
4
seconds to go from the lowest point on the ride to a point
Q
, which is level with the top of a 44 ft pole. Assume
the lowest point of the ride is 3 feet above ground level.
Let
Q(t)=(x(t),y(t))
be the coordinates of the rider at time
t
seconds; i.e., the parametric equations. Assuming the rider begins
at the lowest point on the wheel, then the parametric equations will have the form:
x(t)=r
cos(
ω
t
π
/2
) and
y(t)=r
sin(
ω
t 
π
/2
where
r
,
ω
can be determined from the information given. Provide answers below accurate to 3 decimal places. (Note: We have
imposed a coordinate system so that the center of the ferris wheel is the origin. There are other ways to impose coordinates,
leading to different parametric equations.)
),
(a)
r
=
100
100
feet
(b)
ω
=
0.235
0.235
rad/sec
(c) During the first revolution of the wheel, find the times when the rider's height above the ground is 80 feet.
Page 8 of 9
12/14/16, 4(17 PM
hw02S2.1
Page 9 of 9
8.
3/3 points 
Previous Answers
SCalcET7 10.1.033.
Find parametric equations for the path of a particle that moves along the circle
in the manner described.