Quadratic Projectile Motion

If s(t) = x² + 8x - 10, then v(t) =

• 2

• -2

• 2x + 8

• 2x - 8

What is the initial height of the parabola?

• h = 0.563

• h = 10.063

• h = 5

• h = 1.356

How long does it take the parabola to reach the ground?

• t = 0.563

• t = 10.063

• t = 5

• t = 1.356

The pathway of an arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

• h = 125 feet

• h = 80 feet

• h = 95 feet

• h = 140 feet

(a)  

• A

• B

• C

• D

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

A golfer struck the ball and it followed the path f(x) = -16(x - 4)² + 256

There was a tree 232 feet tall halfway between him and the green, did he make it over the tree?

• Yes

• No

• 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

Mathematical Equivalence

ON