Quadratics Projectile Motion

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

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t² + 64t + 80.
What will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

What algebraic term are you solving for if the word problem is: 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. When does the rocket land?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

• 20 ft

• 15 ft

• 5 ft

• 10 ft

(a)  

• A

• B

• C

• D

• 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

3. A projectile is launched from a point 40 m above the ground. The height at ground level h in meters after t seconds is given by the function(t) = 40t -5t²

• 
• 

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. When does the rocket hit the ground?

• 7 seconds

• 6 seconds

• 3 seconds

• 8 seconds

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