Quadratic Real World Problems

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

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 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) = -16t² + 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

A ball is thrown into the air with an initial velocity of 30 m/s. The height of the ball can be modeled by the equation h(t) = -5t^2 + 30t + 10, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to hit the ground?

• 5.77

• 15.4

• 10.2

• 2.5

A ball is thrown into the air with an initial velocity of 15 m/s. The height of the ball can be modeled by the equation h(t) = -2t^2 + 15t + 3, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to reach its maximum height?

• 3.75

• 4.5

• 5.25

• 2.5

A ball is thrown into the air with an initial velocity of 10 m/s. The height of the ball can be modeled by the equation h(t) = -1.5t^2 + 10t + 2, where h(t) represents the height of the ball at time t in seconds. What is the maximum height reached by the ball?

• 56.67

• 2

• 10

• -1.5

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above