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A radius vector of point A relative to t...

A radius vector of point A relative to the origin varies with time t as `vec r = at hat i - bt^2 hat j` where `a and b` are constant. The equation of point's trajectory is.

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The correct Answer is:
`y=-(b)/(s^2)x^2`

`vec(r)=athati-bt^2hatj`
`x=at`,`y=bt^2`
`t=((x)/(a))impliesy=-b((x)/(a))^2impliesy=(-b)/(a^2)x^2`.
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