Mathematical Modeling
1. 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?
2. 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?
3. A ball is thrown straight up from the top of a 48 foot tall building with an initial speed
of 32 feet per second. The height of the ball as a function of time can be modeled by the
function h(t) = –16t2 + 32t + 48. How long will it take for the ball to hit the ground?
4. 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?
5. A ball is thrown straight up from the top of a 32-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 + 32. How long will it take for the ball to hit the ground?
6. 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 320 feet?
Mathematical Modeling
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