Quadratic Application Projectile Motion

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

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

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

• 64

• 1

• 3

• 4

• 32

• 2

• 68

• 1.5

• 5

• 2.5

(a)  

• A

• B

• C

• D

• 70 feet

• 95 feet

• 149 feet

• -16 feet

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

• 1024 feet

• 64 feet

• 960 feet

• 2 feet