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The Path of Flight (Trajectory) of a Football Thrown by a Quarterback

Question 15

Short Answer

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: y(x)=0.002x2+0.7x+7\quad y ( x ) = - 0.002 x ^ { 2 } + 0.7 x + 7
where y=y = vertical position of football relative to the ground (m)( \mathrm { m } )
x=x = horizontal position of football relative to launch position (m)
How high above the ground is the football when it is 30 yards downfield from the quarterback?
a. 17.05 m17.05 \mathrm {~m}
b. 17.5 m17.5 \mathrm {~m}
c. 8.95 m8.95 \mathrm {~m}
d. 34.1 m34.1 \mathrm {~m}

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