Solving Quadratic Word Problems

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

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

If you square 5 more than a positive number, the result is 88 more than 12 times the number.  Find the numbers.

• -9, 7

• √75

• 9, -7

• 15, -5

Suppose that the equation V = 20.8x² – 458.3x + 3,500 represents the value of a car from 1964 to 2002. What year did the car have the least value? (x = 0 in 1964) 

• 1965

• 1970

• 1975

• 1980

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

• 8 seconds
• 2.5 seconds
• 2.225 seconds
• 2.5 seconds

• 24 ft
• 8 ft
• 12 ft
• 10 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 will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

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

In order to find the vertex of an in standard form, the first two steps are to use the equation _____ to find the x value, and then you can plug that value back into the equation to find the _____.

• -b/2a, y-value

• (x-h)^2, y-intercept
  

• (x-r1), solution

• ax^2, vertex