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

Question:

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
y = 180 - x2/45
Until it hits the ground, where 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 your answer correct to the nearest tenth of a meter.