Motion Problems in Quadratics

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 90 ft

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 0 ft

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the domain of the function?

• 0 < x < 5.625
• 0 < y < 5.625
• 0 < y < 126.56
• 0 < x < 5.625

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the range of the function?

• 0 < y < 5.625
• 0 < y < 126.56
• 0 < x < 126.56
• 0 < y < 126.56

An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this apple's height h at time t seconds after launch is h = 80 + 64t - 16t².

What is the maximum height of the apple?

• 144 ft.

• 80 ft.

• 5 seconds

• 2 seconds

An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this apple's height h at time t seconds after launch is -80 = -16t² + 64t.

How many seconds will it take the apple to hit the ground?

• 144 ft.

• 80 ft.

• 5 seconds

• 2 seconds

An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this apple's height h at time t seconds after launch is h = 80 + 64t -16t².

What is the y intercept?

• (0,80)

• (80,0)

• (2,144)

• (5,0)

An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this apple's height h at time t seconds after launch is -80 = -16t² + 64t.

What is the domain of the function?

• 0 < x < 5

• 0 < x < 5

• 0 < y < 5

• 0 < y < 144

An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this apple's height h at time t seconds after launch is h = 80 + 64t - 16t².

What is the range of the function?

• 0 < x < 5

• 0 < y < 144

• 0 < x < 144

• 0 < y < 144

BONUS: Eva is jumping on a trampoline. Her height h at time t can be modeled by the equation h = -16t² + 20t + 6. Would Eva reach a height of 14 feet?

• Yes, her maximum height is 14 feet.
• Yes, her maximum height is 12.15 ft.
• No, her maximum height is 12.15 ft.
• No, her maximum height is 14 feet.