Quadratic Function Real World

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.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. The following functions reprsents the divers height (in feet) where t is time in seconds: h(t) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function where p is the profit and x is the number of tickets sold:

p= -15x² + 600x + 60

What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250

The function
f(t) = -5t² + 20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds

• -2 seconds

• 6 seconds

• 9 seconds

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is
h(t) = -16t² + 8t +24.  How long will it take for you to hit the water?

• Roots (Solutions)

• Axis of Symmetry

• Vertex

• y-intercept

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

You are cliff diving with some friends. Your path to the water is modeled by h(t) = -16t^2 + 8t +24. How long will it take for you to hit the water? What are you solving for?

• roots

• axis of symmetry

• y-value of the vertex

• y-intercept

A dolphin jumps from the water. The function h(t) = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? What are you solving for?

• solutions

• y-intercept

• axis of symmetry

• y-value of the vertex

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

• 2 meters

• 4 meters

• 5 meters

• 8 meters

If you jump off a cliff and your path is modeled by the function,

h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

• .25 sec

• 1 sec

• 1.5 sec

• 2 sec