March 23rd Quadratic Applications

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

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 

• 0 feet

• 20 feet 

• 6 feet 

If the graph shows price vs profit, what is the maximum profit? 

• 35

• 12,000

• 12,500

• 60

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

A toy rocket is launched and its height is modeled by the equation h = -16t² + 32t + 48. What is the initial heigh of the object?

• 48 ft.

• 16 ft.

• 32 ft.

• 2 ft.

If path of a projectile is modeled by: 
h(t) = -16t² + 20t +6, what is the height after 1 second? 

• 6 feet 

• 20 feet 

• 10 feet 

• 4 feet 

The length of a rectangle is 2 units more than the height.

Given the total area is 80, which equation is correct

• x(x+2) = 80

• x(x+2) = 40

• x+(x+2) = 80

• 2(x+(x+2)) = 80

The area of a garden is 96 m². Suppose the length of the garden is 4 m more than its width. What will be the equation of the problem?

•  $\left(x\right)\left(x+4\right)=96$

•  $x\ +\ \left(x+4\right)=\ 96$

•  $x\left(x-4\right)=96$

•  $x-\left(x+4\right)=96$

Find the n^th term for the following quadratic sequence...

7, 13, 23, 37, 55...

• 2n² + 5

• 2n² + 5n

• n² + 5

• n² - 5

Tags

CCSS.HSF.BF.A.2

Find the n^th term for the following quadratic sequence...

4, 14, 30, 52, 80...

• 3n² + n

• 2n² + n

• 3n² - n

• 2n² - n

Tags

CCSS.HSF.BF.A.2