Calculate the distance traveled by the prey from the time

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A hawk flying at 10 m/s at an altitude of 180 m accidentally drops its prey. The parabolic trajectory of the falling prey is described parametrically by

x=10t y=180-49t^

until it hits the ground. The variable x represents the horizontal distance traveled by the prey and the variable y represents its height above the ground. Calculate the distance traveled by the prey from the time it is dropped until it hits the ground. Express your answer correct to the nearest tenth of a meter.

 

Reference no: EM13203291

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