A hawk flying at 14 m/s at an altitude of 120 m accidentally drops its prey.

Question

A hawk flying at  14 m/s at an altitude of  120 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation  y=120-x^2/42  until it hits the ground, where y is the height above the ground and x is the horizontal distance traveled in meters. 

Let D be the distance traveled by the prey from the time it is dropped until the time it hits the ground.

D=intergal ^b down a = ____dx, where a=____ and b=____

therefore the distance traveled by the prey is equal to ____

Answer 1

The distance traveled by the prey is 145.43 ft.

The prey hits the ground 70.99 ft from when it was dropped along the x axis.