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Motion In A Plane

Question
CBSEENPH11020688

A Particle has initial velocity andleft parenthesis 3 space bold i with bold hat on top space plus 4 space bold j with bold hat on top right parenthesis has acceleration.left parenthesis 0.1 space bold i with bold hat on top space plus space 0.3 space bold j with bold hat on top right parenthesis Its speed after 10s is

  • 7 unit

  • 7 square root of 2 unit
  • 8.5 unit

  • 10 unit

Solution

B.

7 square root of 2 unit From space first space equation space of space motion
straight v equals space straight u space plus at
straight v equals space 3 space bold i with bold hat on top space plus space 4 space bold j with bold hat on top space plus 10 space left parenthesis 0.4 space bold i with bold hat on top space plus 0.3 space bold j with bold hat on top space right parenthesis
straight v space equals space 7 space bold i with bold hat on top space plus space 7 space bold j with bold hat on top
vertical line straight v vertical line equals space 7 square root of 2