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attached are photos of the problemsPlease complete Q 15, 19,31,32,39Please attach any work necessaryo
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relative to north must canoeist 2 paddle to reach the island?
with a speed of 6.95 m/s. The rock falls through a vertical dis-
tance of 1.40 m and lands a horizontal distance of 8.75 m from
(b) What speed must canoeist 2 have if the two canoes are to ar-
the astronaut. What is the acceleration of gravity on Zircon?
rive at the island at the same time?
14. IP Pitcher’s Mounds Pitcher’s mounds are raised to com-
N
pensate for the vertical drop of the ball as it travels a horizontal
distance of 18 m to the catcher. (a) If a pitch is thrown horizon-
W E
tally with an initial speed of 32 m/s, how far does it drop by the
time it reaches the catcher? (b) If the speed of the pitch is in-
creased, does the drop distance increase, decrease, or stay the
same? Explain. (c) If this baseball game were to be played on
the Moon, would the drop distance increase, decrease, or stay
the same? Explain.
15… Playing shortstop, you pick up a ground ball and throw it
to second base. The ball is thrown horizontally, with a speed of
22 m/s, directly toward point A (Figure 4-13). When the ball
reaches the second baseman 0.45 s later, it is caught at point B.
(a) How far were you from the second baseman? (b) What is the
distance of vertical drop, AB?
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A FIGURE 4-12 Problem 7
FIGURE 4-13 Problem 15
SECTION 4-3 ZERO LAUNCH ANGLE
8. • CE Predict/Explain Two divers run horizontally off the
edge of a low cliff. Diver 2 runs with twice the speed of diver 1.
(a) When the divers hit the water, is the horizontal distance cov-
ered by diver 2 twice as much, four times as much, or equal to
the horizontal distance covered by diver 1? (b) Choose the best
explanation from among the following:
I. The drop time is the same for both divers.
IL Dron distance depends on 12
16. . P A crow is flying horizontally with a constant speed of
2.70 m/s when it releases a clam from its beak (Figure 4-14). The
clam lands on the rocky beach 2.10 s later. Just before the clam
lands, what is (a) its horizontal component of velocity, and (b)
its vertical component of velocity? (c) How would your an-
swers to parts cal and change if the speed of the crew were
o
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FIGURE 4-14 Problem 16
1.75 m
23

FIGURE 4-16 Problems 21 and 42

17. .. A mountain climber jumps a 2.8-m-wide crevasse by leaping
horizontally with a speed of 7.8 m/s. (a) If the climber’s direc-
tion of motion on landing is -45°, what is the height difference
between the two sides of the crevasse? (b) Where does the
climber land?
18… IP A white-crowned sparrow flying horizontally with a
speed of 1.80 m/s folds its wings and begins to drop in free fall
(a) How far does the sparrow fall after traveling a horizontal
distance of 0.500 m? (b) If the sparrow’s initial speed is in
creased, does the distance of fall increase, decrease, or stay the
same?
19. Pumpkin Toss In Denver, children bring their old jack-o-
lanterns to the top of a tower and compete for accuracy in hit-
ting a target on the ground (Figure 4-15). Suppose that the tower
is 9.0 m high and that the bull’s-eye is a horizontal distance of
3.5 m from the launch point. If the pumpkin is thrown horizon
tally, what is the launch speed needed to hit the bull’s-eye?
with a reduced speed, does it take more, less, or the same time
to reach the water?
23… Baseball and the Washington Monument On August 25,
1894, Chicago catcher William Schriver caught a baseball
thrown from the top of the Washington Monument (555 ft, 898
steps). (a) If the ball was thrown horizontally with a speed of
5.00 m/s, where did it land? (b) What were the ball’s speed and
direction of motion when caught?
24. … A basketball is thrown horizontally with an initial speed of
4.20 m/s (Figure 4–17). A straight line drawn from the release
point to the landing point makes an angle of 30.0° with the hor-
izontal. What was the release height?
Co
9.0 m
-3.5 m
A FIGURE 4-15 Problems 19 and 20
30.0°
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43… On a hot summer day, a young girl swings on a rope above
the local swimming hole (Figure 4-20). When she lets go of the
rope her initial velocity is 2.25 m/s at an angle of 35.0° above
the horizontal. If she is in flight for 0.616 s, how high above the
water was she when she let go of the rope?
A FIGURE 4-19 Problem 28
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35.0°
29. A second baseman tosses the ball to the first baseman, who
catches it at the same level from which it was thrown. The
throw is made with an initial speed of 18.0 m/s at an angle of
37.5º above the horizontal. (a) What is the horizontal compo-
nent of the ball’s velocity just before it is caught? (b) How long
is the ball in the air?
30. • Referring to the previous problem, what are the y component
of the ball’s velocity and its direction of motion just before it is
caught?
31. • A cork shoots out of a champagne bottle at an angle of 35.0°
above the horizontal. If the cork travels a horizontal distance of
1.30 m in 1.25 s, what was its initial speed?
32. • A soccer ball is kicked with a speed of 9.85 m/s at an angle of
35.0° above the horizontal. If the ball lands at the same level
from which it was kicked, how long was it in the air?
33. . In a game of basketball, a forward makes a bounce pass to
the center. The ball is thrown with an initial speed of 4.3 m/s at
an angle of 15° below the horizontal. It is released 0.80 m above
the floor. What horizontal distance does the ball cover before
bouncing?
34… Repeat the previous problem for a bounce pass in which the
ball is thrown 15° above the horizontal.
35. IP Snowballs are thrown with a speed of 13 m/s from a roof
7.0 m above the ground. Snowball A is thrown straight down-
A FIGURE 4-20 Problem 43
44. A certain projectile is launched with an initial speed vu. At its
highest point its speed is vo/4. What was the launch angle?
SECTION 4-5 PROJECTILE MOTION:
KEY CHARACTERISTICS
45. Punkin Chunkin In Sussex County, Delaware, a post-
Halloween tradition is “Punkin Chunkin,” in which contestants
build cannons, catapults, trebuchets, and other devices to
launch pumpkins and compete for the greatest distance.
Though hard to believe, pumpkins have been projected a dis-
tance of 4086 feet in this contest. What is the minimum initial
speed needed for such a shot?
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Figure 4-18. Kank the projecties in order or increasing (a) non-
than, or the same as the landing speed or SNOWDALI DI Explain.
zontal component of initial velocity and (b) time of flight. Indi- (b) Verify your answer to part (a) by calculating the landing
cate ties where appropriate.
speed of both snowballs.
36. In the previous problem, find the direction of motion of the
two snowballs just before they land.
A
37. . A golfer gives a ball a maximum initial speed of 34.4 m/s.
(a) What is the longest possible hole-in-one for this golfer? Ne.
B
glect any distance the ball might roll on the green and assume
that the tee and the green are at the same level (b) What is the
minimum speed of the ball during this hole-in-one shot?
38… What is the highest tree the ball in the previous problem
could clear on its way to the longest possible hole-in-one?
39. .. The “hang time” of a punt is measured to be 4.50 s. If the ball
was kicked at an angle of 63.0° above the horizontal and was
A FIGURE 4-18 Problem 27
caught at the same level from which it was kicked, what was its
initial speed?
28. CE Three projectiles (A, B, and C) are launched with different
initial speeds so that they reach the same maximum height, as 40… In a friendly game of handball, you hit the ball essentially
shown in Figure 4–19. Rank the projectiles in order of increasing at ground level and send it toward the wall with a speed of
(a) initial speed and (b) time of flight. Indicate ties where appro-
18 m/s at an angle of 32° above the horizontal. (a) How long
priate.
does it take for the ball to reach the wall if it is 3.8 m away?
(b) How high is the ball when it hits the wall?
41… IP In the previous problem, (a) what are the magnitude and di-
rection of the ball’s velocity when it strikes the wall? (b) Has the
ball reached the highest point of its trajectory at this time? Explain.
. A passenger on the Ferris wheel described in Problem 21
drops his keys when he is on the way up and at the 10 o’clock
position. Where do the keys land relative to the base of the ride?
43… On a hot summer day, a young girl swings on a rope above
the local swimming hole (Figure 4-20). When she lets go of the
rope her initial velocity is 2.25 m/s at an angle of 35.0° above
the horizontal. If she is in flight for 0.616 s, how high above the
A FIGURE 4-19 Problem 28
water was she when she let go of the rope?
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