You are piloting a helicopter which is hovering at 196.00 m above the ground. Yo

Question

You are piloting a helicopter which is hovering at 196.00 m above the ground. You see Barney (Uh-oh) just as your crew pushes a large object out of the cabin with a horizontal velocity of 8.50 m/s from the helicopter. You watch in horror as the package heads toward Barney who is standing in a hole so that his head is approximately at ground level. A. How long does it take the package to reach the ground? B. Is Barney safe if he is located 55.0 m horizontally relative to the helicopter's position? Justify your answer. C. What are the horizontal and vertical components of the velocity the instant before the package hits the ground? D. At what angle to the horizontal does the package strike the ground?

Explanation / Answer

H = 196 m

a) Vy^2 = Uy^2 + 2gh

Vy^2 = 2*9.81*196

Vy = 62.012 m/s

T = Vy / g = 6.321 sec.

b) R = Ux*T = 8.5*6.321 = 53.73 m (hence he is safe)

c) Ux = 8.5 m/s

Vy = 62.012 m/s

d) TanQ = Vy / Ux = 7.295

Q = 82.2 degree below horizontal

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