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A hawk flying at 15 $\mathrm{m} / \mathrm{s}$ at an altitude of 180 $\mathrm{m}$ accidentally drops its prey. The parabolic trajectory of the fallingprey is described by the equation$$y=180-\frac{x^{2}}{45}$$until it hits the ground, where $y$ is its height above theground and $x$ is the horizontal distance traveled in meters.Calculate the distance traveled by the prey from the timeit is dropped until the time it hits the ground. Expressyour answer correct to the nearest tenth of a meter.

209.1 $\mathrm{m}$

Calculus 2 / BC

Chapter 7

APPLICATIONS OF INTEGRATION

Section 4

Arc Length

Applications of Integration

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