Name Period Date hapter inear otion Example Problems extend outward for 23 meters, what is the minimum horizontal velocity a diver must have in order to clear the rocks bellow? Write

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Chapter 1 Linear Motion

Doc Fizzix Practice Problems • Unit I Mechanics

Name Period Date

Example Problems

2.3 Projectile MotionE1. A monkey, while playing with a hot wheel car, gives the car a big push sending the

car flying off the edge of a table with a horizontal velocity of 1.2 m/s. If the car lands 0.51 meters from the edge of the table, what is the height of the table?

Write the horizontal formula


Draw a picture showing height, range, velocity, and the path of the projectile

Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =

Vertical (y)Horizontal (x)

unitsa)

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E2. A crazy monkey throws your car keys off the edge of a cliff. The monkey throws the keys with a horizontal velocity of 3.50 m/s. If the keys lands on the ground a distance of 5.40 meters from the edge of the cliff, what is the height of the cliff?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa)

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E3. Supplies are dropped from a plane in order to help some people stranded on a desert island. If the plane is flying at a altitude of 300 meters with a horizontal speed of 60.0 m/s, how far before the drop zone should the supplies be released?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa)

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Name Period Date

E4. Divers in Acapulco dive from a cliff that is 61 meters high. If the rocks below the cliff extend outward for 23 meters, what is the minimum horizontal velocity a diver must have in order to clear the rocks bellow?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa)

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Name Period Date

E5. In the movie The Gods Must Be Crazy a pilot drops an empty Coca-Cola bottle of out of an airplane. It is recovered by a native below, who thinks it is a message from the gods. If the plane from which the bottle was dropped was flying at an altitude of 500 meters, and the bottle lands 400 meters horizontally from the initial dropping point, how fast was the plane flying when the bottle was released?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa)

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Name Period Date

E6. Monkeys love playing darts. A monkey throws a dart horizontally with a speed of 12.4 m/s. The dart hits the dart board 0.32 meters below the height from which it was thrown. How far away is the monkey from the dart board?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa)

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Name Period Date

E7. An object is thrown at an angle of 37° from a bridge 20 m above a river. The initial speed of the object is 30 m/s. Calculate the time of flight, the horizontal range, and the final velocity at impact.




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


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Name Period Date

E8. An archer tries to hit a shoulder-hight target 15.0 metes away. The speed of the arrow as it leaves the bow is 30.0 m/s. Neglecting air friction, estimate the angle at which the archer should aim to compensate for the fall of the arrow due to the acceleration of gravity.




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


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Name Period Date

Student Problems

2.3 Projectile Motion1. A monkey throws Justin Bieber off the balcony of his apartment. The monkey

throws the “Biebs” with a horizontal velocity of 1.5 m/s, and the “Biebs” lands on the ground a horizontal distance of 8 m from the edge of the balcony. Calculate how long the “Biebs” was in the air and the height of the balcony.




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

2. A rock is thrown horizontally at a speed of 24 m/s from the top of a cliff. If the rock hits the ground 3.5 seconds later, how far from the edge of the cliff did the rock land and approximately how high is the cliff?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

3. A baseball leaves the hand of a top professional pitcher traveling at 100 mph (44.7 m/s). The distance from the pitchers mound to the home plate is 18.29 meters. How much time does a batter have to react to the ball and how far vertically will the ball have dropped once it crosses home plate?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

4. A gorilla designs a fancy Nerf gun that has a muzzle velocity of 250 m/s. In a Nerf gun war between a monkey and a gorilla, the gorilla fires a dart horizontally from a vertical height of 2 meter in the direction of the monkey but monkey ducks down just in time and the dart goes flying past the monkey. Calculate how far the dart travel before striking the ground and how long the dart is in the air.




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

5. During world war II the B-17 bomber (The Flying Fortress) was instrumental to the victory achieved by the allied forces against Germany. If flying at a top speed of 287 mph (128.3 m/s) and at an altitude of 10,000 feet (3,000 m), how long would it take a bomb dropped from its cargo bay to hit the ground and at what distance before it’s intended target would the bomber need to release it’s load in order to hit the target?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

6. A rifle is aimed horizontally at a target located 30 meters away. The bullet hits the target falling 0.0191 meters below the original horizontal aiming point. How long was the bullet in the air and what was the original muzzle velocity of the bullet?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

7. A police officer is chasing a monkey across a rooftop, both are running at 4.5 m/s. The monkey comes to the edge of the building and the only chance for escape is to jump to the next building. The next building is 4.8 m vertically bellow and 6.2 m away horizontally. If the monkey tries to make the jump, will he make it to the next building or will he fall short? (Hint: calculate how far horizontally the monkey travels then compare your calculates value to the actual distance between the buildings.)




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

8. Monkeys love playing darts. A monkey claims that he can throw a dart and hit a 0.05- m diameter bulls-eye on a dartboard located 2.0 meters away. The monkey starts his throw by lining up his dart even with the top edge of the bulls-eye. The dart leaves the monkey’s hand traveling horizontal with a speed of 15 m/s. Calculate how far the dart falls bellow the top edge of the bulls-eye. Based on your calculation, does the dart land inside of the bulls-eye or bellow the bulls-eye?




Show your work

vx =

dx =

€

t =

g =

voy =

vfy =

€

Δh =

€

t =


unitsa) unitsb)

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Name Period Date

Monkey Busters

2.3 Projectile Motion9. A cannon fires a projectile from the edge of a vertical cliff. The initial velocity of the

projectile is 200 m/s at an angle of 60° above the horizontal. The projectile lands on the ground below 20 s after it was fired. How far from the base of the cliff did the projectile land and what is the height of the cliff?

Record all givens, draw a picture, arrow all vectors, write the formula, substitute and solve

unitsa) unitsb) 10. A quarterback throws the football with an initial velocity of 25 m/s at an angle of 30°

with the horizontal. How far down field will the ball be caught and how long will the ball be in the air?


unitsa) unitsb)

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Name Period Date

11. When a spring gun is held at an angle of 45° above the horizontal, the range of its projectile is 25 m. What is the muzzle velocity of the projectile?


unitsa) 12. At what angle should the spring gun from the previous problem be held so that the

range is reduced to 18 m?


unitsa)

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13. A train robber throws a bag of loot off the moving train as the train travels at a speed of 90 km/h on an embankment 15 m above ground. The robber throws the bag horizontally with an initial speed of 15 m/s perpendicular to the train track. Where, in relation to its point of release, will the bag land?


unitsa) 14. Dive-bombing was a common practice during World War II. Suppose a bomber is

on a course toward the target, diving at an angle of 37° below the horizontal with a speed of 250 m/s. It releases a bomb when it is at an altitude of 600 m, and the bomb hits the intended target. Where was the target in relation to the plane at the moment of the bomb’s release? How much time elapsed between the release and the impact of the bomb? What was the bomb’s speed at the moment of impact?


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Name Period Date

15. A n object is projected from a bridge 20 m above the water. The initial velocity of the object is 30 m/s, and 45° above the horizontal. How far from the bridge will the object strike the surface of the water, and what is its velocity at that moment?


unitsa) unitsb) 16. An archer shoots at a squirrel perched atop a 15-m-tall telephone pole that is 20 m

distant. If the squirrel sees the archer fire and drops to the ground just as the arrow leaves the bow, in which direction would the archer have to have aimed to hit the squirrel? If the initial speed of the arrow is 25 m/s, will the arrow hit the squirrel before it drops all the way to the ground? How far above ground is the squirrel when it is struck, if it is hit at all while falling?


Documents

Name Period Date hapter inear otion Example Problems extend outward for 23 meters, what is the minimum horizontal velocity a diver must have in order to clear the rocks bellow? Write