Worksheet 6.1 Projectile Motion - Trunnell's...
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Physics P Worksheet 6.1 Projectile Motion Worksheet 6.1 Projectile Motion 1. A ball falls from rest from a height of 490 m. a. How long does it remain in the air? b. If the ball has a horizontal velocity of 200 m/s when it begins its fall, what horizontal displacement will it have? 2. An archer stands 40 m from the target. If the arrow is shot horizontally with a velocity of 90 m/s, how far above the bull's-eye must he aim to compensate for gravity pulling his arrow downward? 3. A bridge is 176.4 m above a river. If a lead weighted fishing line is thrown from the bridge with a horizontal velocity of 22 m/s, how far has it moved horizontally when it hits the water? 4. A beach ball, moving with a speed of 1.27 m/s, rolls off a pier and hits the water 0.75 m from the end of the pier. How high above the water is the pier? 5. Pete has a tendency to drop his bowling ball on his release. Instead of having the ball on the floor at the completion of his swing, Pete lets go with the ball 0.35 m above the floor. If he throws it horizontally with a velocity of 6.3 m/s, what distance does it travel before you hear a "thud"? 6. You accidentally throw your car keys horizontally at 8 m/s from a cliff 64–m high. How far from the base of the cliff should you look for the keys? 7. A toy car runs off the edge of a table that is 1.225 m high. It lands 0.4 m from the base of the table. a. How long did it take the car to fall? b. How fast was the car going on the table? 8. A dart player throws a dart horizontally at 12.4 m/s. The dart hits the board 0.32 m below the height from which it was thrown. How far away is the player from the board? 9. You took a running leap off a diving platform at a speed of 2.8 m/s and hit the water 2.6 s later. a. How high was the platform? b. How far from the edge of the platform did you hit the water? 10. An airplane traveling 1001 m above the ocean at 125 km/h is going to drop a box of supplies to shipwrecked survivors below. a. How many seconds before the plane is directly overhead should the box be dropped? b. What is the horizontal distance between the plane and the victims when the box is dropped? 11. Divers in Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear the rocks? 12. Two criminals, Shifty and Lefty, have just stolen some jewels. Lefty has the jewels when the police begin to chase him, and he runs to the top of a 60–m tall building in an attempt to escape. Meanwhile, Shifty runs to the convenient hot–air balloon 20 m from the base of the building and untethers it, so it begins to rise at a constant speed. Lefty tosses the bag of jewels horizontally with a speed of 7.3 m/s just as the balloon begins its ascent. What must the velocity of the balloon be for Shifty to easily catch the bag?
Transcript of Worksheet 6.1 Projectile Motion - Trunnell's...
Physics P Worksheet 6.1 Projectile Motion
Worksheet 6.1 Projectile Motion
1. A ball falls from rest from a height of 490 m.
a. How long does it remain in the air? b. If the ball has a horizontal velocity of 200 m/s when it begins its fall, what horizontal
displacement will it have? 2. An archer stands 40 m from the target. If the arrow is shot horizontally with a velocity of 90 m/s, how
far above the bull's-eye must he aim to compensate for gravity pulling his arrow downward? 3. A bridge is 176.4 m above a river. If a lead weighted fishing line is thrown from the bridge with a
horizontal velocity of 22 m/s, how far has it moved horizontally when it hits the water? 4. A beach ball, moving with a speed of 1.27 m/s, rolls off a pier and hits the water 0.75 m from the end
of the pier. How high above the water is the pier? 5. Pete has a tendency to drop his bowling ball on his release. Instead of having the ball on the floor at
the completion of his swing, Pete lets go with the ball 0.35 m above the floor. If he throws it horizontally with a velocity of 6.3 m/s, what distance does it travel before you hear a "thud"?
6. You accidentally throw your car keys horizontally at 8 m/s from a cliff 64–m high. How far from the base of the cliff should you look for the keys?
7. A toy car runs off the edge of a table that is 1.225 m high. It lands 0.4 m from the base of the table. a. How long did it take the car to fall? b. How fast was the car going on the table?
8. A dart player throws a dart horizontally at 12.4 m/s. The dart hits the board 0.32 m below the height from which it was thrown. How far away is the player from the board?
9. You took a running leap off a diving platform at a speed of 2.8 m/s and hit the water 2.6 s later. a. How high was the platform? b. How far from the edge of the platform did you hit the water?
10. An airplane traveling 1001 m above the ocean at 125 km/h is going to drop a box of supplies to shipwrecked survivors below. a. How many seconds before the plane is directly overhead should the box be dropped? b. What is the horizontal distance between the plane and the victims when the box is dropped?
11. Divers in Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear the rocks?
12. Two criminals, Shifty and Lefty, have just stolen some jewels. Lefty has the jewels when the police begin to chase him, and he runs to the top of a 60–m tall building in an attempt to escape. Meanwhile, Shifty runs to the convenient hot–air balloon 20 m from the base of the building and untethers it, so it begins to rise at a constant speed. Lefty tosses the bag of jewels horizontally with a speed of 7.3 m/s just as the balloon begins its ascent. What must the velocity of the balloon be for Shifty to easily catch the bag?
Physics P Worksheet 6.1 Projectile Motion
1a. 𝑡 = !"!
𝑡 = ! !"# !!
𝑡 = 10 s 1b. 𝑑 = 𝑣𝑡 𝑑 = 200 m/s 10 s 𝑑 = 2000 m 2. 𝑡 = !
!
𝑡 = !" !!" !/!
𝑡 = 0.44 s ℎ = !
!!!!
ℎ = !!! !.!! ! !
ℎ = 0.97 m
3. 𝑡 = !"!
𝑡 = ! !"#.! !!
𝑡 = 6 s 𝑑 = 𝑣𝑡 𝑑 = 22 m/s 6 s 𝑑 = 132 m 4. 𝑡 = !
!
𝑡 = !.!" !!.!" !/!
𝑡 = 0.59 s ℎ = !
!!!!
ℎ = !!! !.!" ! !
ℎ = 1.7 m
5. 𝑡 = !"!
𝑡 = ! !.!" !!
𝑡 = 0.27 s 𝑑 = 𝑣𝑡 𝑑 = 6.3 m/s 0.27 s 𝑑 = 1.7 m
6. 𝑡 = !"!
𝑡 = ! !" !!
𝑡 = 3.6 s 𝑑 = 𝑣𝑡 𝑑 = 8 m/s 3.6 s 𝑑 = 29 m
7a. 𝑡 = !"!
𝑡 = ! !.!!" !!
𝑡 = 0.5 s 7b. 𝑣 = !
!
𝑣 = !.! !!.! !
𝑣 = 0.8 m/s
8. 𝑡 = !"!
𝑡 = ! !.!" !!
𝑡 = 0.26 s 𝑑 = 𝑣𝑡 𝑑 = 12.4 m/s 0.26 s 𝑑 = 3.2 m 9a. ℎ = !
!!!!
ℎ = !!! !.! ! !
ℎ = 33 m 9b. 𝑑 = 𝑣𝑡 𝑑 = 2.8 m/s 2.6 s 𝑑 = 7.3 m
10a. 𝑡 = !"!
𝑡 = ! !""! !!
𝑡 = 14.3 s 10b. 𝑑 = 𝑣𝑡 𝑑 = 34.7 m/s 14.3 s 𝑑 = 497 m
11. 𝑡 = !"!
𝑡 = ! !" !!
𝑡 = 3.5 s 𝑣 = !
!
𝑣 = !" !!.! !
𝑣 = 6.5 m/s 12. 𝑡 = !
!
𝑡 = !" !!.! !/!
𝑡 = 2.74 s ℎ = !
!!!!
ℎ = !!! !.!" ! !
ℎ = 36.8 m 60 m − 36.8 m =
23.2 m 𝑣 = !
!
𝑣 = !".! !!.!" !
𝑣 = 8.5 m/s
