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Motion In A Plane

Question
CBSEENPH11020360

A particle has an initial velocity of 3 space stack straight i space with hat on top plus space 4 space stack straight j space with hat on top and an acceleration of It speed 0.4 space stack straight i space with hat on top plus space 0.3 space stack straight j space with hat on topafter 10 s

  • 10 units

  • 7 space square root of 2
  • 7 units

  • 8.5 units

Solution

B.

7 space square root of 2 straight V with rightwards arrow on top space equals straight u with rightwards arrow on top space plus straight a with rightwards arrow on top straight t
straight V with rightwards arrow on top space space equals space left parenthesis 3 straight i with hat on top space plus 4 space straight j with hat on top right parenthesis space plus space 10 left parenthesis 0.4 space straight i with hat on top space plus 0.3 space straight j with hat on top right parenthesis
straight V with rightwards arrow on top space equals 7 space straight i with hat on top space plus 7 straight j with hat on top space
rightwards double arrow space vertical line straight V with rightwards arrow on top vertical line space equals space 7 square root of 2