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Pre-Calc: Ch. 3 Extension Problem
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chrishenn
October 09, 2011
Education
0
59
Pre-Calc: Ch. 3 Extension Problem
For my high school pre-calc class.
chrishenn
October 09, 2011
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Transcript
Chapter 3 Extension Tossing a Ball Chris Henn 10/9/11
The problem Toss a ball from a set location. Keep
track of where it lands and how high it goes.
Data 1 2 3 4 5 6 7 8 9
10 11 height at peak length of toss 2.1 2.0 2.1 2.2 2.1 2.0 1.9 2.2 1.9 2.0 2.1 1.4 1.4 1.5 1.4 1.5 1.6 1.8 1.3 1.4 1.5 1.6 Trial Result
Find averages Average length of throw: Average peak height: 2.05m
1.49m
Find the equation y = ax 2 + b 0
= a( 2.05 2 )2 + 1.49 a = 1.42 y = 1 . 42 x 2 + 1 . 49 Quadratic equation, represents path of ball
Graph equation -2.4 -2 -1.6 -1.2 -0.8 -0.4 0 0.4
0.8 1.2 1.6 2 2.4 -0.8 -0.4 0.4 0.8 1.2 1.6 2 Average height at peak (0,1.49) Average distance from peak landing point (1.025,0)
Area under the ball Represented by the equation: a (
x ) = 2 a 3 x 3 + bx 2 + 2 cx With our values plugged in: a ( x ) = ( 2 · 1 . 42 3 )1 . 0253 + 2(1 . 49)(1 . 025)
Therefore... Area under the ball is 2.06m2
Blank Slide!