Projectile Motion – Practice Problems

Move your mouse over the "Answer" to reveal the answer or click on the "Complete Solution" link to reveal all of the steps required for solving projectile motion problems.

A ball is thrown straight up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 48t + 64. How long will it take for the ball to hit the ground?
Complete Solution
A ball is thrown straight up from the top of a 112 foot tall building with an initial speed of 96 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 96t + 112. When will the ball reach a height of 240 feet?
Complete Solution
A ball is thrown straight up from the top of a 24 foot tall building with an initial speed of 40 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 40t + 24. How long will it take for the ball to hit the ground?
Complete Solution
A ball is thrown straight up from the top of a 192 foot tall building with an initial speed of 64 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 64t + 192. When will the ball reach a height of 112 feet?
Complete Solution
A ball is thrown straight up from the top of a 30 foot tall building with an initial speed of 74 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 74t + 30. How long will it take for the ball to hit the ground?
Complete Solution
A ball is thrown straight up from the top of a 224 foot tall building with an initial speed of 80 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 80t + 224. When will the ball reach a height of 308 feet?
Complete Solution