Quadratic Projectile

• 0.5 sec, 5 seconds

• 0.5 seconds

• 5 seconds

• never

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 96 feet

• 100 feet

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t² + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

• -16 seconds

• -6 seconds

• 0 seconds

• 5 seconds

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

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

h(t) = -16t² + 8t + 24, where t= time in seconds and h=height in feet

How long would it take you to hit the water?

Write your answer in the form # units

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec

In a projectile motion problem, if the question is asking when an object will hit the ground, what part of the graph are you looking for? (Provided y is the height of the object and x is time)

• The y-intercept

• The x-intercepts

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• Something else

• 64

• 1

• 3

• 4

• 32

• 2

• 68

• 1.5

• 5

• 2.5

An object is launched directly upward at 64 feet per second from a platform 80 feet high.  

 Write the function for the height of this object at any given time (t seconds).

Mathematical Equivalence

ON

When working with Quadratic Projectile problems, what does the x-axis always represent?

• Time

• Height

• Distance

• Total