Projectile Motion – Practice Problems

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 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