Applications of Quadratic Functions

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24.  How long will it take for you to hit the water?

• Roots (Solutions)
• Axis of Symmetry
• Vertex
• y-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  What is the height of the ball after 1 second?

• 0 ft
• 160 ft
• 96 ft
• 112 ft

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7

Does
y = -4x²
have a maximum or minimum value?

• maximum
• minimum

Tags

CCSS.HSF-IF.C.7A

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSF-IF.C.7A

Joe Mauer hits a fly ball.  You can track the height of the ball using the equation:   h(t) = -16t² + 140t + 2  
What was the starting
                        height of the ball?                                                                                      

• -16 feet
• 140 feet
• 2 feet
• 0 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  How long is the ball in the air?

• 3.5 seconds
• 5 seconds
• 7 seconds
• 8 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  What is the height of the ball after 1 second?

• 0 ft
• 160 ft
• 96 ft
• 112 ft

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) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

For a scene in a movie, a sack of money is dropped from the roof of a 600 foot skyscraper. The height of the sack above the ground is given by h = -16t² + 600, where t is the time in seconds. What does the y-intercept on the graph represent?

• The starting height of the sack

• The time it took the sack to hit the ground

• The maximum height of the sack

• The starting time the sack was dropped.

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