Projectile Motion Problems 201 22. One of the fastest recorded pitches in major-league baseball, thrown by Joel Zumaya in 2006, was clocked at 101.0 mi/h (Fig. P3.22). If a pitch were thrown horizon- tally with this velocity, how far would the ball fall verti- cally by the time it reached home plate, 60.5 ft away? 25. The best leaper in the animal kingdom is the puma, which can jump to a height of 12 ft when leaving the ground at an angle of 45°. With what speed, in SI units, must the animal leave the ground to reach that height? 29. A brick is thrown upward from the top of a building at an angle of 25 to the horizontal and with an initial speed of 15 m/s. If the brick is in flight for 3.0 s, how tall is the building? 30. An artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal. To clear an ava- lanche, it explodes on a mountainside 42.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point? 32. A fireman 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of 30.0° above the horizontal. If the speed of the stream. as it leaves the hose is 40.0 m/s, at what height will the stream of water strike the biuilding? 58. A 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in Figure P3.58. If he shoots the ball at a 40.0° angle with the horizontal, at what ini- tial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basket is 3.05 m.

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Projectile Motion Problems 201
22. One of the fastest recorded pitches in major-league
baseball, thrown by Joel Zumaya in 2006, was clocked at
101.0 mi/h (Fig. P3.22). If a pitch were thrown horizon-
tally with this velocity, how far would the ball fall verti-
cally by the time it reached home plate, 60.5 ft away?
25. The best leaper in the animal kingdom is the puma, which
can jump to a height of 12 ft when leaving the ground at
an angle of 45°. With what speed, in SI units, must the
animal leave the ground to reach that height?
29. A brick is thrown upward from the top of a building at an
angle of 25 to the horizontal and with an initial speed
of 15 m/s. If the brick is in flight for 3.0 s, how tall is the
building?
30. An artillery shell is fired with an initial velocity of
300 m/s at 55.0° above the horizontal. To clear an ava-
lanche, it explodes on a mountainside 42.0 s after firing.
What are the x- and y-coordinates of the shell where it
explodes, relative to its firing point?
32. A fireman 50.0 m away from a burning building directs a
stream of water from a ground-level fire hose at an angle
of 30.0° above the horizontal. If the speed of the stream.
as it leaves the hose is 40.0 m/s, at what height will the
stream of water strike the biuilding?
58. A 2.00-m-tall basketball player is standing on the floor
10.0 m from the basket, as in Figure P3.58. If he shoots
the ball at a 40.0° angle with the horizontal, at what ini-
tial speed must he throw the basketball so that it goes
through the hoop without striking the backboard? The
height of the basket is 3.05 m.
Transcribed Image Text:Projectile Motion Problems 201 22. One of the fastest recorded pitches in major-league baseball, thrown by Joel Zumaya in 2006, was clocked at 101.0 mi/h (Fig. P3.22). If a pitch were thrown horizon- tally with this velocity, how far would the ball fall verti- cally by the time it reached home plate, 60.5 ft away? 25. The best leaper in the animal kingdom is the puma, which can jump to a height of 12 ft when leaving the ground at an angle of 45°. With what speed, in SI units, must the animal leave the ground to reach that height? 29. A brick is thrown upward from the top of a building at an angle of 25 to the horizontal and with an initial speed of 15 m/s. If the brick is in flight for 3.0 s, how tall is the building? 30. An artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal. To clear an ava- lanche, it explodes on a mountainside 42.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point? 32. A fireman 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of 30.0° above the horizontal. If the speed of the stream. as it leaves the hose is 40.0 m/s, at what height will the stream of water strike the biuilding? 58. A 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in Figure P3.58. If he shoots the ball at a 40.0° angle with the horizontal, at what ini- tial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basket is 3.05 m.
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