Quadratic Applications

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 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 

For that same projectile, at what TIME does the maximum height occur? 
h(t) = -16t² + 20t + 6 

• 0 seconds 
• .625 seconds 
• 160 seconds 
• 2 seconds 

What is the maximum height for that same projectile? (time of maximum height was .625) 
h(t) = -16t² + 20t + 6 

• 8.5 feet 
• 12.25 feet 
• 24.75 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 lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

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

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

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