Quadratics Story Problem

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

• 5 ft

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 time will be the object reach it's maximum height?

• 2 s

• 80 s

• 144 s

• 5 s

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 time will the object reach the ground?

• 2 s

• 80 s

• 144 s

• 5 s

The quadratic equation f(x) = -16t² + 64t models the height of a golf ball in feet over time in seconds. How long was the ball moving through the air?

• 10 seconds

• 8 seconds

• 6 seconds

• 4 seconds

The quadratic equation f(x) = -16t² + 64t models the height of a golf ball in feet over time in seconds. What is the height of the ball after exactly 1 second?

• 28 ft

• 48 ft

• 60 ft

• 64 ft

The quadratic equation f(x) = -16t² + 64t models the height of a golf ball in feet over time in seconds. At what time is the ball exactly 64 feet above the ground?

• 6 seconds

• 4 seconds

• 2 seconds

• 1 second

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula

h(t) = −16t² + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula

h(t) = −16t² + 8t + 24, where h is his height above the water, t is the time. What is the maximum height the diver reaches?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula

h(t) = −16t² + 8t + 24, where h is his height above the water, t is the time. At what time will the diver reach the water?

• .25 seconds

• .75 seconds

• 1 second

• 1.5 seconds