Quadratic Equation Word Problem

The height of an item falling can be modeled by h_t = -16t² + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a penny at a height of 18.6 feet, how long will it take the item to hit the ground?

The number of bags of peanuts sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 4t² + t - 3, where t is the number of years since 1900. How many bags of peanuts were sold in 2000?

The height of an item falling can be modeled by h_t = -16t² + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a cup at a height of 18.9 feet, how long will it take the item to hit the ground?

The number of foam fingers sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 2t² + 2t - 1, where t is the number of years since 1900. How many foam fingers were sold in 1976?

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t² + 80 About how long did it take for the balloon to hit the ground?

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds. When is the ball at ground level?

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

The sum of a number and its square is 72. Find the number(s).

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t² + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?