Projectile Motion Review1. A golf ball is hit horizontally from the top of

a cliff and travels a distance of 471 m horizontally. Suppose the ball is hit with an initial horizontal velocity of 80 m/s. Calculate the height of the cliff.

ans: 170 m

2. A dare devil is planning to drive off a 30 m high platform and jump over 12 cars lined up end to end. If each car is 5 meters long, how fast must his motorcycle be traveling when it leaves the platform?

ans: 24 m/s

3. In your lab group you determine that a marble is rolling off your lab table with a velocity of 1.8 m/s. If your lab table is 72 cm high, how far from the table will your marble land?

ans: 0.69 m

4. A dare devil is planning to drive off a ramp set at 30o and jump over 18 cars lined up end to end. If each car is 5 meters long and with an initial velocity of 32 m/s , will this dare devil clear the cars?

ans: yes, by 1.4 m

5. A ball rolls across a table at 2.7 m/s. The ball falls off of the table which takes a time of 0.5 seconds. What is the horizontal distance the projectile covers? How high is the table?

ans: x = 1.35 m y = 1.23 m

6. A ball rolls a across a table that has been measured to be 2.0 meters long. It takes 1.0 second for the ball to move across the table. The ball then falls off of the table which takes a time of 0.5 seconds. What is the horizontal distance the projectile covers?

ans: 1 m

7. A stunt car driver is driving off of a cliff at 20 m/s. The car is in the air for 3 seconds. What horizontal distance should the safety engineer place a net to keep the driver safe?

ans: 60 m

8. An arrow is shot at 23o to the horizontal travels initially at 100 m/s . If the arrow can travel 200 meters before hitting the ground, how long was the arrow in the air?

ans: 7.97 s

9. In projectile motion, what is the acceleration of an object in both the horizontal and vertical component?

ans: acceleration due to gravity, 9.8 m/s2

10. Two balls are kicked at the same initial velocity. One kicked at 30o and the other kicked at 60o. Which will have the greater horizontal displacement?ans: both will travel the same distance.

Quiz Review

1. A golf ball with an initial horizontal velocity of 0.25 m/s rolls off the table top that is 92 cm high. How far from the base of the table will the golf ball hit the floor?

2. A marble rolls off a table top that is 1.25 m in height. If the marble hits the floor 37.5 cm from the base of the table, what was the initial horizontal velocity of the marble?

3. A ball is kicked at an angle of 43o with the horizontal at an initial velocity of 25 m/s. What is the maximum height of the ball? What is the range of the golf ball?

4. 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 with safety?

5. Two balls are kicked with the same initial velocity. One is kicked at 30o and the other kicked at 60o to the horizontal. Which will have the greater range? Justify

6. A parabolic motion of an object in flight is called the ____________________.

7. Two balls are thrown horizontally off two different buildings with the same initial velocity of 4.5 m/s. Building one is 56.4 m high and building two is 78.4 m high. Which of the two balls will have the greater range? Justify

8. A .40 caliber round has an initial velocity of 185 m/s. If the gun is fired level with the horizontal and 1.86 m above the horizontal, how far will the bullet travel before it hits the ground down range?

9. One ball is kicked and the range is measured to 54 m. If a second ball is kicked with the same initial velocity, what can be concluded if the range of the second ball is measured to 62 m? Justify!

10. A golf ball is hit with an initial velocity of 26.5 m/s at 28o .

a. What is the horizontal component of the ball?

 b. What is the vertical

component of the ball?

11. To find the highest point of a trajectory what is true about the time used in the equation?