Applications of 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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds
• 6 seconds
• 5.5 seconds
• 5 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds
• -2 seconds
• 6 seconds
• 9 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3