Projectile Motion and Quadratics

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t 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 upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

In Projectile Motion Quadratic Word Problems, what does the y-value always represent?

• Time

• Height

• Distance

• Total

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24.  How long will it take for you to hit the water?

• Roots (Solutions)

• Axis of Symmetry

• Vertex

• y-intercept

(a)  

• A

• B

• C

• D

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

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)  

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

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

• 8 seconds

• 1 second

• 1/2 second

• 1/4 second

• 1.875 seconds

• 2 seconds

• 2.125 seconds

• 2.625 seconds

• 64

• 1

• 3

• 4

• 32

• 2

• 68

• 1.5

• 5

• 2.5