Quadratics Story Problems

An object is launched directly upward at 64 feet per second (ft/s) from an elevated platform. The height of the object represented by the equation

h(t) = –16t² + 64t + 80.

After 1 second, how high is the object?

• 64 ft.

• 80 ft.

• 128 ft.

• 144 ft.

An object is launched directly upward at 64 feet per second (ft/s) from an elevated platform. The height of the object represented by the equation

h(t) = –16t² + 64t + 80.

What is the domain?

• all real numbers

• -1 ≤ x ≤ 5

• 0 ≤ x ≤ 144

• 0 ≤ x ≤ 5

An object is launched directly upward at 64 feet per second (ft/s) from an elevated platform. The height of the object represented by the equation

h(t) = –16t² + 64t + 80.

What is the range?

• all real numbers

• 0 ≤ y ≤ 144

• 80 ≤ y ≤ 144

• 0 ≤ y ≤ 80

FILL IN THE BLANKS. This shape of graph is called a _______ because this function is ________.

• quadratic; parabola

• parabola; quadratic

• curve; exponential

• line; linear

What is the maximum height the coin will reach?

• 0 feey

• 5 feet

• 9 feet

• 10 feet

After 8 seconds, how high is the coin?

• 0 feet

• 5 feet

• 8 feet

• 10 feet

While this graph has two x-intercepts, this SITUATION only has one. True or false?

• True

• False

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t² + 45 
When is the ball at ground level?

• only at t = 0 seconds 

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

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