Shepard�s Pre-Calculus

Document Sample
Shepard�s Pre-Calculus Powered By Docstoc
					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
           solve problems.

Lesson:        You must take complete, accurate notes to get credit for your
               assignment.

            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

                                         b
            You find the vertex at x =
                                         2a




            vertex: (     ,       )


            axis of symmetry:




            equation in vertex form: y =




Assignment: Pages 182-183 # 27-32, 61-63

				
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
views:9
posted:7/4/2012
language:English
pages:2