Quadratic 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

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 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 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

• 2.25

• 5.5

• 11

• 21.1

• 24.3

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

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. Approximate the maximum height?

• ~ 0 ft

• ~ 80 ft

• ~ 46 ft

• ~ 68 ft

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 hit the ground again?

• ~ -0.1 seconds

• ~ 2 seconds

• ~ 68 seconds

• ~ 4.1 seconds

The equation represents the height of a frog, h, in meters as a function of time, t, in seconds after it jumps out of a tree into a pond. What are the t-intercepts (x-intercepts) of this function?

• (-1,0), (5,0)

• (1,0), (-5,0)

• (0,-1), (0,5)

• (0,1), (0,-5)