6. Julie Ertz is playing kick ball with a local 6th grade P.E. class. When Julie kicks the ball, the ball follows the path of f(x)= -2x²+12x a) Graph the path of the ball that Julie kicks 221 20 14 12 10 4. 0 i2345678910 1 Time (seconds) b. If the ceiling is 25 feet high, will the ball hit the ceiling? Explain. c) How many seconds after the ball is kicked will it hit the ground? Height(teet)

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Chapter2: Second-order Linear Odes
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6. Julie Ertz is playing kick ball with a local 6th grade P.E. class. When Julie kicks the ball, the ball follows the
path of f(x)= -2x²+12x
a) Graph the path of the ball that Julie kicks
22
20
14
12
10
0 i23456789 10 11
Time (seconds)
b. If the ceiling is 25 feet high, will the ball hit the ceiling? Explain.
c) How many seconds after the ball is kicked will it hit the ground?
Height(teet)
Transcribed Image Text:6. Julie Ertz is playing kick ball with a local 6th grade P.E. class. When Julie kicks the ball, the ball follows the path of f(x)= -2x²+12x a) Graph the path of the ball that Julie kicks 22 20 14 12 10 0 i23456789 10 11 Time (seconds) b. If the ceiling is 25 feet high, will the ball hit the ceiling? Explain. c) How many seconds after the ball is kicked will it hit the ground? Height(teet)
Expert Solution
part a

Given Julie is playing kick ball. When she kicks the ball, the ball follows the path 

fx=-2x2+12x                            (i)

Graph of the path of ball is shown below.

Advanced Math homework question answer, step 1, image 1

The graph of  the path of ball is parabolic with open downwards.

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