Nanh drops a ball from a platform that is 40 feet tall. To make the trick work she has to put her magician’s table at a height where the ball will reach the table top after exactly 1.5 seconds. If the function h(t) = -16t2 + 40 represents the height of the ball t seconds after Nanh drops the ball, how tall does her table need to be?

In the following exercises, solve. 334. Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48 feet above the ground, the function h(t)=16t2+32t+48 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 48 feet above the ground. (c) the height the ball will be at t=1 seconds which is when the ball will be at its highest point.

In the following exercises, solve 464. For the function f(x)=25x281 , find: (a) the zeros of the function (b) the x-intercepts of the graph of the function (c) the y-intercept of the graph of the function.

In the following exercises, solve 462. Jing is going to throw a ball from the balcony of her condo. When she throws the ball from 80 feet above the ground, the function h(t)=16t2+64t+80 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 128 feet above the ground. (c) the height the ball will be at t=4 seconds.

In the following exercises, solve. 333. Juli is going to launch a model rocket in her back yard. When she launches the rocket, the function h(t)=16t2+32t models the height, h, of the rocket above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the rocket will hit the ground. (b) the time the rocket will be 16 feet above the ground.

In the following exercises, solve. 444. Shruti is going to throw a ball from the top of a cliff. When she throws the ball from 80 feet above the ground, the function h(t)=16t2+64t+80 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 80 feet above the ground. (c) the height the ball will be at t=2 seconds which is when the ball will be at its highest point.