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Motion In A Plane

Question
CBSEENPH11018247

If one of the rectangular components of a velocity of 36m/s has magnitude 26 m/s, then what is the magnitude of other rectangular component of velocity?

Solution

If straight v subscript 1 space and space straight v subscript 2 are the magnitudes of rectangular components of velocity vector of magnitude v, then
                   straight v squared equals straight v subscript 1 squared plus straight v subscript 2 squared
Given,
              straight v equals 36 space straight m divided by straight s  and      straight v subscript 1 equals 26 space straight m divided by straight s
∴              straight v subscript 2 squared space equals space straight v squared minus straight v subscript 1 squared
space space space space space space equals space left parenthesis 36 right parenthesis squared minus left parenthesis 26 right parenthesis squared 
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That is,
               straight v subscript 2 equals 24.9 space straight m divided by straight s, is the magnitude of other rectangular component of velocity.