Arc Length: Problem $2$

$(1$ point$)$

A hawk flying at $17\frac{m}{s}$ at an altitude of $172$ m accidentally drops its prey. The parabolic traje of the falling prey is described by the equation

$y=172-\frac{x^2}{51}$

until it hits the ground, where $y$ is its height above the ground and $x$ is the horizontal distanc traveled in meters. Calculate the distance traveled by the prey from the time it is dropped un time it hits the ground.

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