Quadratic Situations Max Height of a Projectile

• 1024 feet

• 64 feet

• 960 feet

• 2 feet

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 96 feet

• 100 feet

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

• 70 feet

• 95 feet

• 149 feet

• -16 feet

Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t² + 32t + 28, where t is the time in seconds. What is the maximum height that the arrow reaches?

• 24 ft.

• 30 ft.

• 44 ft

• 32 ft.

April shoots an arrow upward at a speed of 80 ft/sec from a platform of 25 ft. high. The pathway of the arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height and t is the time in seconds. What is the maximum height that the arrow reaches?

• 80 ft.

• 90 ft.

• 140 ft.

• 125 ft.

A ball is thrown straight up into the air from an initial height of 49 meters with an initial velocity of 14.7 meters per second. The height of the ball in meters, h, can be modeled by the following quadratic equation, where t is the time in seconds after the ball was thrown.

h = -4.9t² + 14.7t + 49

How long after the ball was thrown did it reach its maximum height?

• 1.5 seconds

• 2 seconds

• 2.5 seconds

• 3 seconds

An archer shoots an arrow into the air such that its height at any time, t, is given by the function h(t) = -16t² + kt + 3. If the maximum height of the arrow occurs at time t = 4, what is the value of k?

• 128

• 64

• 8

• 4

What is the maximum height for that same projectile? (time of maximum height was .625) 
h(t) = -16t² + 20t + 6 

• 8.5 feet 

• 12.25 feet 

• 24.75 feet 

• 6 feet 

What is the maximum height for that same projectile? (time of maximum height was .625) h(t) = -16t² + 20t + 6

• 8.5 feet

• 12.25 feet

• 24.75 feet

• 6 feet