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A particle is moving with velocity v=k(y i cap + x j cap) where k is constant. The General equation for its path is ??

A particle is moving with velocity v=k(y i cap + x j cap) where k is constant. The General equation for its path is ??

Grade:11

1 Answers

GAGANDEEP SINGH
46 Points
7 years ago
dx/dt=ky and dy/dt=kx. Differentiate second one wrt t you will get ay=ky. Now ay=(vy)*d(vy)/dy. From here ypu will get vy in terms of y. You now have to replace vy by dy/dt then you will get y in terms of t. Do same with first equation and eleminate t from both to get the equation of path.

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