Question
A shooting game involves using a gun that fires by itself at random times. The player can only point the gun in a fixed direction while the target moves from side to side with simple harmonic motion, as shown. At which of the given region should the player aim in order to score the greatest number of hits? 

Answer

During $SHM$ speed will be minimum in $1$ and $5$ region.
Hence probability of greatest number of hit will increase.

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