Applying and analysing quadratic functions

If Noah drops a coin from the top of a building, when will the coin reach the ground?

• 0 seconds

• 4 seconds

• 8 seconds

• 10 seconds

If the area inside the enclosure is 25 square feet, what is the width of the hutch?

x is the width of the rectangular area in feet

y is the total ground area of enclosure in square feet.

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 projectile bottle rocket is launched in the air. How long did it take the bottle rocket to reach its maximum altitude?

• 3 seconds

• 6.8 seconds

• 50 seconds

• 200 seconds

Ray found the maximum height of a basketball thrown from half court to be 21 feet and wants to know how long it took to get there.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

• x at vertex

• y at vertex

• positive zero

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

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

• 9.0 seconds

• 9.6 seconds

• 81.0 seconds

• 82.0 seconds

A flying squirrel jumped from a tree 11 feet in the air at an initial velocity of 9 feet per second. The equation below models his jump where h is height in feet and t is time in seconds.

 $h\left(t\right)=-2t^2+9t+11$  
When did the squirrel reach the ground?

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 

When did the ball reach it's maximum height?

• 0.5 seconds
• 9 seconds
• 0 seconds
• 5 seconds