Quadratic Function Real World

A soccer ball is kicked from the ground and its path is modeled by the function h(t)= -t² + 5t, where t is time in seconds. What is the maximum height of the ball?

• 5 ft

• 6.25 ft

• 18.75 ft

• 2.5 ft

Your younger sibling is standing on his deck, which is 4 feet off the ground. They toss their toy up into the air. The toy's height, h, from the ground at t seconds after they threw it is modeled by the function h(t) = -2t² + 7t + 4. How long does it take the toy to hit the ground? Hint: Use factor by grouping!!!

• .5 sec

• 2 sec

• 4 sec

• 8 sec

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 20t + 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

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function : h(t) = -16t^2 + 40t + 10 How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

The graph represents the height of a baseball, h, in feet as a function of time, t, in seconds after it was hit by a baseball player. Approximately how many seconds does it take for the ball to reach the maximum height?

• ~ -0.1 seconds

• ~ 2 seconds

• ~ 68 seconds

• ~ 4.1 seconds

• ~ -0.1 seconds

• ~ 2 seconds

• ~ 68 seconds

• ~ 4.1 seconds

• 3

• 2

• 2.5

• 0

• ~50.2

• ~40.5

• ~2

• ~44.1

How can you find the initial height of an object from ANY quadratic equation?

• It will be the a value

• It will be the b value

• It will be the c value

• It will always be 0