Functions (quadratic)

The height of a diver is shown.

The diver is in the air for more than 3 seconds.

• True

• False

• 95 feet

• 87 feet

• 223 feet

• 142 feet

The height of an object thrown into the air can be modeled by the formula $y=-16x^2+70x+95$ , where y is in feet after x seconds.
What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

A ball is thrown into the air with an initial velocity of 40 meters per second. The height of the ball at any time t can be modeled by the equation h(t) = -9.8t^2 + 40t + 5, where h(t) is the height in meters and t is the time in seconds. How long does it take for the ball to reach a height of 20 meters?

• 1.5 seconds

• 3.2 seconds

• 4.8 seconds

• 2.04 seconds

Fireworks are fired from the roof of a 100-foot building. The equation h(t) = -16t² +84t + 100 models the height, h(t), of the fireworks at any given time, t. How high do the fireworks get?

• 2.625 ft

• 6.25 ft

• 100 ft

• 210.25 ft

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
 $h\left(t\right)=-16t^2+40t+10$  
How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 32 seconds

The equation  $h\left(t\right)=-16t²+12t+3$  represents the path of a projectile. 


What are the units the problem is measured in?

• meters per second

• feet per second

• meters per minute

• feet per second

Please type the number only.

Mathematical Equivalence

ON

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t² + 96t.  What is the equation for the axis of symmetry?

• y = 3
• x = 3
• y = 145
• x = 145

Which graph best matches the description:

In a football league, each team plays all other teams twice.

x is the number of teams

y is the total number of games played by one team

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