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The position of a particle moving in XY-...

The position of a particle moving in XY-plane varies with time t as `x=t, y=3t-5`.
(i) What is the path traced by the particle?
(ii) When does the particle cross-x-axis?

Text Solution

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(i) `x=t, y=3t-5` By eliminating t from above two equations `y=3x-5`
This is the equation of a straight line.
(ii) The particle crosses x-axis when `y=0`. So `0=3t-5 rArr t=5/3`
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