Projectile Motion: Military Helicopter?

H

Howard

New member
A military helicopter on a mission is flying horizontally at a speed of 60.0m/s when it accidentally drops a bomb[fortuneatly, not armed] at an elevation of 300m.
a) How much time does it require for the bomb to reach the earth?
b) How far does it travel horizontally while falling?
c) Find the horizontal and vertical components of the bomb's velocity just before it hits the earth.
d)If the velocity of the helicopter remains constant, where is the helicopter when the bomb hits the ground?
 
Neglecting force due to air friction, we have
a) 300 = 0.5*9.81*t^2 or t = sq rt[300/(0.5*9.81)] = 7.82 s
b) horizontal distance traveled = 60*7.82 = 469 m
c) Horizontal component, Vx = 60 m/s and vertical component, Vy is given by Vy = 9.81*7.82 = 77 m/s
d) Helicopter has also traveled the same distance, 469 m horizontally and is just above the bomb
 
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