Exam 4: Two-Dimensional Kinematics

A person throws a ball horizontally from the top of a building that is 40.0 m high. The initial velocity of the ball is 100 m/s. What is the horizontal distance that the ball travels before hitting the ground?

A boy kicks a football with a certain initial velocity at an angle 20° above the horizontal. In 2.0 seconds, the ball reaches at its highest point in its trajectory. What is the initial velocity of the ball?

A projectile is shot horizontally at 23.4 m/s from the roof of a building 55.0 m tall. (a) Determine the time necessary for the projectile to reach the ground below. (b) Determine the distance from the base of the building that the projectile lands. (c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A monkey is sitting at the top of a tree 20 m high from the ground level. A person standing on the ground wants to feed the monkey. He uses a bow and arrow to launch the food to the monkey. If the person knows that the monkey is going to drop from the tree at the same instant that the person launches the food, how should the person aim the arrow containing the food?

An airplane is flying at a speed of 200 m/s in level flight at an altitude of 800 m. A package is to be dropped from the airplane to land on a target on the ground. In what direction will the package be traveling when it hits the ground?

The horizontal component of the velocity of a projectile remains constant during the entire trajectory of the projectile.

An athlete participates in a discus throw competition during an Olympiad that takes place in a city where acceleration due to gravity is 9.7 m/ . He throws the discus with an initial velocity of 20 m/s at an angle of 30° above the horizontal. Neglecting the height of the discus at the point of release, what is the range of the discus?

A ball rolls over the edge of a table with a horizontal velocity v m/s. The height of the table is 1.6 m and the horizontal range of the ball from the base of the table is 20 m. What is the initial speed of the ball?

If the acceleration vector of an object is directed perpendicular to the velocity vector,

For which value of θ is the height of a projectile fired from ground level a maximum?

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s². What is the vertical component of its velocity after 4 seconds?

A boy kicks a football with an initial velocity of 20 m/s at an angle of 25° above the horizontal. The magnitude of the acceleration of the ball while it is in flight is

An athlete participates in a discus throw competition during an Olympiad that takes place in a city where acceleration due to gravity is 9.80 m/s². He throws the discus with an initial velocity of 20.0 m/s at an angle of 30.0° above the horizontal. Neglecting the height of the discus at the point of release, what is the range of the discus?

A boy kicks a football with an initial velocity of 28.0 m/s at an angle of 30.0° above the horizontal. What is the highest elevation reached by the football in its trajectory?

The vertical component of the acceleration of a projectile remains constant during the entire trajectory of the projectile.

For which value of θ is the range of a projectile fired from ground level a maximum?

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30°. When the snowballs reach the ground below,

A projectile is launched from ground level with a certain speed. For any range less than the maximum range there are two possible launch angles that give the same range.

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.0 m. What is the magnitude of the velocity of the puck just before it touches the ground?

A ball rolls over the edge of a table with a horizontal velocity v m/s. The height of the table is 1.6 m and the horizontal range of the ball from the base of the table is 20 m. How long does it take for the ball to hit the ground?