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Motion In A Plane

Question
CBSEENPH11020434

A particle is moving eastwards with a velocity of 5 m/s in 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is

  • fraction numerator 1 over denominator square root of 2 end fraction straight m divided by straight s squared spacetowards north-east
  • 1 half straight m divided by straight s squared spacetowards north.
  • zero

  • fraction numerator 1 over denominator square root of 2 end fraction straight m divided by straight s squared spacetowards north-west

Solution

D.

fraction numerator 1 over denominator square root of 2 end fraction straight m divided by straight s squared spacetowards north-west
straight a with rightwards arrow on top space equals space fraction numerator stack straight V subscript straight f with rightwards arrow on top minus stack straight V subscript straight i with rightwards arrow on top over denominator straight t end fraction space
space equals space fraction numerator 5 straight j with hat on top minus 5 straight i with hat on top over denominator 10 end fraction space equals 1 half space left parenthesis straight j with hat on top minus straight i with hat on top right parenthesis
therefore straight a space equals space fraction numerator 1 over denominator square root of 2 end fraction ms to the power of negative 2 end exponent space towards space north space west