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Atoms And Molecules

Question
CBSEENSC9006119
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A helicopter is on a mission to drop food for people stranded on a boat. It is at a height of 20 m and moving with a steady horizontal velocity of 2 m/s when it spots the nearest end of the boat immediately below it. It drops the packets then. If the length of the boat is 5 m, will the people in the boat receive the packets?

Solution

For the vertical motion of the food packet:
u = 0, s = -20 m,  g = -10 m/s2
Now, using the second eqaution of motion,
space space space space space space space straight s space equals space ut space plus space 1 half gt squared space therefore space space minus 20 space equals space 0 space minus space 1 half cross times 10 cross times straight t squared rightwards double arrow space space space space straight t squared space equals space 4 space rightwards double arrow space straight t space equals space 2 space sec space For space horizontal space motion space of space the space food space packet comma space Velocity comma space straight v space equals space 2 space straight m divided by straight s comma space straight t space equals space 2 space sec Distance space covered comma space straight s space equals space vt space equals space 2 cross times 2 space equals space 4 space straight m space This space distance space is space less space than space the space length space left parenthesis 5 straight m space right parenthesis space of space the space boat. space Yes comma space the space boat space will space receive space the space food space packets. space

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