You are dropping provisions from a helicopter hovering at 590 m above the ground
ID: 2169210 • Letter: Y
Question
You are dropping provisions from a helicopter hovering at 590 m above the ground to firefighters on the ground below you. The parachutes on the packages you drop are designed to have the boxes fall at a constant velocity of V = 21 m/s. The parachute system needs to open when the free falling boxes you drop from the helicopter reach the speed V.Because of the intense flames, the surface winds are blowing from west to east with a speed of 10.0 m/s. {Your pilot is compensating for this so the helicopter is not drifting relative to the ground} Where should you place the helicopter {still 590 meters above the ground} relative to the field kitchen so the boxes you drop land on the kitchen roof? (There is horizontal drift until the parachute opens.)
____meters west of the kitchen
Explanation / Answer
The distance from helicopter where parachutes start working=v^2/(2g)=22.5m time taken to travel 567.5m(590-22.5) =567.5/21=27.024 sec required distance =27.024*10=270.24m
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