when it hits the ground , y = 0
0 = 150 -4.9t^2
t^2 = 150/4.9
t = √(150/4.9) = appr 5.53
then x = 25(5.53) = appr 138.3 m
A hawk flying at 25 m/s at an altitude of 150 m accidentally drops its prey. The parabolic trajectory of the falling prey is described parametrically by
x=25t,y=150−4.9t^2
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.
1 answer
1 answer