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Displacement x and time t, in a rectiIin...

Displacement x and time t, in a rectiIinear motion of a partical are reIated as `t = sqrt(x)+3`. Here x is measured in metre and t in second. Find the displacement of the partical when its velocity is zero.

Text Solution

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Given, t = `sqrt(x+3)" ""or" sqrt(x) = t-3"or",= (t-3)^(3)`.
velocity, `v = (dx)/(dt) = 2(t-3)`
If velocity =0, 2(t-3) = 0 `" ""or,"t = 3s`
`:.` At t = 3s, the displacement, `x = (3-3)^(2) = 0`
Hence at zero velocity the displacement is also zero.
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