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PHYSICS I
PROJECTILE MOTION 3.1
1. A physics book slides off a horizontal table top with a speed of 1.10 m/s. It strikes the floor in 0.350 s. Ignore air
resistance. Find a the height of the table top above the floor; b the horizontal distance from the edge of the table
to the point where the book strikes the floor; c the horizontal and vertical components of the book’s velocity, and
the magnitude and direction of its velocity, just before the book reaches the floor. [0.600 m, 0.385 m,
1.10 m/s,
3.43 ,
3.60 m/s, 72.2° below the horizontal]
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2. A marble rolls along a table at a constant speed of 1.00 m/s and then falls off the edge of the table to the floor 1.00
m below. a How long does the marble take to reach the floor? b At what horizontal distance from the edge of the
table does the marble land? c What is its velocity as it strikes the floor? [0.452 s, 0.452 m, 4.54 m/s 77.3° below
horizontal]
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3. A military helicopter on a training mission is flying horizontally at a speed of 60.0 m/s and accidentally drops a
bomb at an elevation of 300 m. You can ignore air resistance. a How much time is required for the bomb to reach
the earth? b How far does it travel horizontally while falling? c Find the horizontal and vertical components of its
velocity just before it strikes the earth. d If the velocity of the helicopter remains constant, where is the helicopter
when the bomb hits the ground? [7.82 s, 470 m,
60.0 m/s,
76.7 m/s, 300 m]
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4. A daring 500-N swimmer dives off a cliff with a running horizontal leap. What must her minimum speed be just as
she leaves the top of the cliff so that she will miss the ledge at the bottom, which is 1.75 m wide and 9.00 m below the
top of the cliff? [1.3 m/s]
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5. A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal, with magnitude 9.0
m/s. Find the motorcycle’s position, distance from the edge of the cliff, and velocity after 0.50 s. [
4.5 m,
9.0 m/s,
4.9 m/s,
10.2 m/s, 29° below the horizontal]
1.2 m,
4.7 m,
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6. A man stands on the roof of a 15.0 m tall building and throws a rock with a velocity of magnitude 30.0 m/s at an
angle of 33.0° above the horizontal. You can ignore air resistance. Calculate a the maximum height above the roof
reached by the rock; b the magnitude of the velocity of the rock before it strikes the ground; c the horizontal
distance from the base of the building to the point where the rock strikes the ground. [13. 6 m, 34.6 m/s, 103 m]
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7. A basketball player shoots the ball at a hoop 3.00 m above the floor from a horizontal distance of 6.00 m from the
center of the hoop. The ball leaves the player’s hand 2.00 m above the floor at an angle of 45.0° with the horizontal.
With what initial speed must the ball be shot in order to hit the center of the basket, without hitting the rim or
8.40 m/s]
backboard? [
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8. An archer wishes to shoot an arrow at a target at eye level a distance of 50.0 m away. If the initial speed imparted
to the arrow is 70.0 m/s, what angle should the arrow make with the horizontal as it is being shot? [2.87°]
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9. An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0° above the horizontal. When the plane is 114
m directly above a cat that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the cat will the suitcase land? You can ignore air resistance. 795 m WWW.MIAMI-BEST-MATH-TUTOR.COM
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10. A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9° above the
horizontal. You can ignore air resistance. a At what two times is the baseball at a height of 10.0 m above the point
at which it left the bat? b Calculate the horizontal and vertical components of the baseball’s velocity at each of the
the two times calculated in part a . c What is the magnitude and direction of the baseball’s velocity when it returns
to the level at which it left the bat? [0.682 s, 2.99 s, 24.0 m/s, 11.3 m/s, 24.0 m/s, 11.3 m/s, 30.0 m/s, 36.9]
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