American Football and Initial Velocity
Time for Practice
1. A stone is thrown horizontally at a speed of from the edge of a cliff in height. How far from the base of the cliff will the stone strike the ground?
2. A toy truck moves off the edge of a table that is high and lands from the base of the table.
a. How much time passed between the moment the car left the table and the moment it hit the floor?
b. What was the horizontal velocity of the car when it hit the ground?
3. A hawk in level flight above the ground drops the fish it caught. If the hawk’s horizontal speed is , how far ahead of the drop point will the fish land?
4. A pistol is fired horizontally toward a target away, but at the same height. The bullet’s velocity is . How long does it take the bullet to get to the target? How far below the target does the bullet hit?
5. A bird, traveling at , wants to hit a waiter below with his dropping (see image). In order to hit the waiter, the bird must release his dropping some distance before he is directly overhead. What is this distance?
6. Joe Nedney of the San Francisco 49ers kicked a field goal with an initial velocity of at an angle of .
a. How long is the ball in the air? Hint: you may assume that the ball lands at same height as it starts at.
b. What are the range and maximum height of the ball?
7. A racquetball thrown from the ground at an angle of and with a speed of lands exactly later on the top of a nearby building. Calculate the horizontal distance it traveled and the height of the building.
8. Donovan McNabb throws a football. He throws it with an initial velocity of at an angle of . How much time passes until the ball travels horizontally? What is the height of the ball after seconds? (Assume that, when thrown, the ball is above the ground.)
9. Pablo Sandoval throws a baseball with a horizontal component of velocity of . After seconds, the ball is above the release point. Calculate the horizontal distance it has traveled by this time, its initial vertical
1. A stone is thrown horizontally at a speed of from the edge of a cliff in height. How far from the base of the cliff will the stone strike the ground?
2. A toy truck moves off the edge of a table that is high and lands from the base of the table.
a. How much time passed between the moment the car left the table and the moment it hit the floor?
b. What was the horizontal velocity of the car when it hit the ground?
3. A hawk in level flight above the ground drops the fish it caught. If the hawk’s horizontal speed is , how far ahead of the drop point will the fish land?
4. A pistol is fired horizontally toward a target away, but at the same height. The bullet’s velocity is . How long does it take the bullet to get to the target? How far below the target does the bullet hit?
5. A bird, traveling at , wants to hit a waiter below with his dropping (see image). In order to hit the waiter, the bird must release his dropping some distance before he is directly overhead. What is this distance?
6. Joe Nedney of the San Francisco 49ers kicked a field goal with an initial velocity of at an angle of .
a. How long is the ball in the air? Hint: you may assume that the ball lands at same height as it starts at.
b. What are the range and maximum height of the ball?
7. A racquetball thrown from the ground at an angle of and with a speed of lands exactly later on the top of a nearby building. Calculate the horizontal distance it traveled and the height of the building.
8. Donovan McNabb throws a football. He throws it with an initial velocity of at an angle of . How much time passes until the ball travels horizontally? What is the height of the ball after seconds? (Assume that, when thrown, the ball is above the ground.)
9. Pablo Sandoval throws a baseball with a horizontal component of velocity of . After seconds, the ball is above the release point. Calculate the horizontal distance it has traveled by this time, its initial vertical