A Projectile Launched Horiontally

[DO NOW] A 1.0-kilogram ball is dropped from the roof of a building 40. meters tall. What is the approximate time of fall? [Neglect air resistance.]

A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters per second. What is the projectile's horizontal speed after it has fallen 25 meters? [Neglect friction.]

The diagram below shows a student throwing a baseball horizontally at 25 meters per second from a cliff 45 meters above the level ground. Approximately how far from the base of the cliff does the ball hit the ground? [Neglect air resistance.]

A ball is thrown horizontally with an initial velocity of 20.0 meters per second from the top of a tower 60.0 meters high. What is the horizontal velocity of the ball just before it reaches the ground? [Neglect air resistance.]

A ball is thrown horizontally with an initial velocity of 20.0 meters per second from the top of a tower 60.0 meters high. What is the initial vertical velocity of the ball? [Neglect air resistance.]

A ball is thrown horizontally with an initial velocity of 20.0 meters per second from the top of a tower 60.0 meters high.

What is the approximate total time required for the ball to

reach the ground? [Neglect air resistance.]

A student standing on a knoll throws a snowball horizontally 4.5 meters above the level ground toward a smokestack 15 meters away. The snowball hits the smokestack 0.65 second after being released. [Neglect air resistance.]

What is the approximate horizontal component of the snowball’s velocity at the instant it is released?

The diagram below represents two horizontal platforms that are at different heights above level ground. A ball rolls off the taller platform with a horizontal speed of 15 meters per second and travels through the air, landing on the top of the shorter platform.

What is the total time the ball is in the air? [Neglect friction.]

The diagram below represents two horizontal platforms that are at different heights above level ground. A ball rolls off the taller platform with a horizontal speed of 15 meters per second and travels through the air, landing on the top of the shorter platform.

What is the ball’s horizontal velocity at the instant it lands

on the top of the shorter platform? [Neglect friction.]

A projectile is launched horizontally at a speed of 30 meters per second from a platform located a vertical distance h above the ground. The projectile strikes the ground after time t at horizontal distance d from the base of the platform. [Neglect friction.]

Express the projectile’s total time of flight, t, in terms of the vertical distance, h, and the acceleration due to gravity, g. Explain how to increase its total time of flight, t.