M2 - Quadratic Word Problems

An object is 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

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

What was your initial upward velocity when you jumped?

• 8 ft/sec

• 16 ft/sec

• 1.5 ft/sec

• 24 ft/sec

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 + 42

How high is the platform?

• .25 ft

• 42 ft

• 16 ft

• 8 ft

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 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? (Hint! Factor!!)

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

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

How high would you jump if the equation for jumping from a cliff is:    
h(t) = -16t² + 8t + 24?

• 25
• 24
• 8
• 26

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) = _t² + _t + _.

What number go into the first blank?

• 2

• 80

• -16

• 64

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

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? (Hint! Factor!)

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds