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For the following five exercises, look at the diagram of the person
shooting a basket on p. 709 of the text. Suppose his name is Joe.
Assume that he is 7 ft. tall and is standing 20 ft. from the basket
which is 10 ft. tall. Assume this information throughout this lab but
do not assume that the maximum height reached by the basketball is 12
ft. as depicted in the text except for Exercise 1 below.
Do problem 24 on p. 709
Let be the angle of elevation. Use Maple to plot the
trajectories of the basketball between the time it leaves Joe's hand
and when it reaches the basket for = 30, 45, and 60 degrees.
Let the initial speed of the basketball be 30 ft/sec. Find the
smallest so that Joe will make his shot. What is the maximum
height of the basketball in this case?
Assume the information given in problem 3. Suppose you are standing
between Joe and the basket, and you are l feet from Joe. Suppose
when you stretch out your arm, your hand can reach a height of h
ft. How high do you have to jump in order for your hand to be
directly in the path of the ball? (Neglect the size of the
basketball.) Your answer will depend on l and h.
How many seconds after Joe shoots the ball should you jump in order to
block the shot? Neglect the time spent jumping.
Sean O Anderson
Wed Apr 2 09:24:35 EST 1997