Quadratic Word Problems What to Solve

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?

• 11,628

• 11,703

• 151

• 5,775

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 bowling ball at a height of 13.1 feet, how long will it take the item to hit the ground?

• 0.1 seconds

• 1.9 seconds

• 0.90 seconds

• 0.81 seconds

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 bowling ball at a height of 13.1 feet, how long will it take the item to hit the ground?

• 0.48 seconds

• 1.69 seconds

• 0.69 seconds

• 0.31 seconds

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 5 meters

• 40 meters

• 20 meters

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t  
When will the object reach its maximum height?

• 4 ft

• 0 seconds

• 0 ft

• 4 seconds

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.
h = -5t² + 45 
When is the ball at ground level?

• only at t = 0 seconds 

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Solve the word problem:  How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t² + 8t + 24?

• 8

• 1

• 1.5

• 1/4

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

• 126.56 ft

• 5.625 sec

• 2.81 sec

• 0 ft