5. A hawk flying at 15 m/s at an altitude of 180 m accidentally drops its…

5. A hawk flying at 15 m/s at an altitude of 180 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y180- 45 until it hits the ground, where y is its height above the ground and is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express you answer correct to the nearest tenth of a meter. Hint: Your integral will require a substitution to bring it into a table form.