Applications of Quadratics

#9) A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4
• 2
• 4
• 8

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:    
h = -16t² + 8t + 24?

• 8
• 1
• 1/2
• 1/4

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How many seconds after being thrown will the stone hit the water?

• -1 seconds
• 1 second
• 2 seconds
• 3 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by:

m(x)= -x² + 14x

How many centimeters of rain will produce the maximum number of mosquitoes?

• 0 centimeters
• 7 centimeters
• 14 centimeters
• 49 centimeters

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:
h(x)= -5x² + 10x + 15
How long does it take the stone to reach its highest point?

• 1 seconds
• 1.5 seconds
• 2 seconds
• 3 seconds

You are trying to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet are above the ground is given by the function:
h(t) = -16t² + 12t
Will you be able to dunk the basketball?

• Yes
• No
• As long as I'm wearing Air Jordans

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high
• It goes 20 feet high
• It goes 40 feet high
• It goes 10 feet high

• 10 feet
• 40 feet x 25 feet
• 20 feet
• 450 square feet