Real Life Quadratic Functions

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

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

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

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?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4

• 2

• 4

• 8

h(t) = -16t² + 20t +6, what is the height after 1 second?

• 6 feet 

• 20 feet 

• 10 feet 

• 4 feet 

A diver is standing on a platform 30 ft above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h(t)=-16t^2+vt+s where h is his height above the water, t is the time, v is his starting upward velocity and s is his starting height. How long will it take for him to hit the water?

• 30 sec

• 31 sec

• 1.645 sec

• 2 sec

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

Evie throws her Biology book upward while standing on a rooftop of a building that is 30 feet high.  The motion of the book is modeled by the equation h=-16t^2+50t+30 where h is the height of the book in feet after t seconds. At what time does the book reach its maximum height?

• 1.563 sec

• 3.125 sec

• 1.067 sec

• 0.320 sec