Shepard’s Pre-Calculus Name:
2.1b LINEAR & QUADRATIC FUNCTIONS and MODELING
Score: + /
Learning Target: Students will be able to recognize and graph linear
and quadratic functions and use these functions to model situations and
Lesson: You must take complete, accurate notes to get credit for your
VERTICAL FREE-FALL MOTION
The height x and vertical velocity v of an object in free fall are given by
s(t) = - ½ gt2 + v0 t + s0 and v(t) = - gt + v0
where t is time (in seconds), g = 32 ft/sec2 or g = 9.8 m/sec2 is the
acceleration due to gravity, v0 is the initial vertical velocity of the object,
and s0 is the initial height.
1. Sam threw a football out of his bedroom window, 14 feet above the ground
with an initial velocity of 40 ft/sec and it landed out in the yard.
a. Find the maximum height of the football.
b. How much time was the ball in the air?
c. Determine its vertical velocity when it hits the ground.
2. Find the vertex and the axis of the graph of the function. Rewrite the equation
for the function in vertex form.
a. f(x) = 2x2 - 8x + 5
You find the vertex at x =
vertex: ( , )
axis of symmetry:
equation in vertex form: y =
Assignment: Pages 182-183 # 27-32, 61-63