A hawk flying at 15m/s at an altitude of 180 m accidentallydrops its prey. The parabolic trajectory of the fallingprey is described by the equation   y = 180 - x2/45 until it hits the ground, where is its height above theground and 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.

Question

A hawk flying at 15m/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.

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Kinematics

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