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

Question 31

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= horizontal position of football relative to launch position (m) x = \text { horizontal position of football relative to launch position (m) }
How high above the ground is the football as it leaves the quarterback's hand?
a. 0.002 m0.002 \mathrm {~m}
b. 0.7 m0.7 \mathrm {~m}
c. 7 m7 \mathrm {~m}
d. 7.7 m7.7 \mathrm {~m}

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