1.

For the one dimensional motion, described by `x=t-sint`A. (a) ` x (t) gt o for all t gt 0`B. (b) ` v (t) gt0 for all t gt 0`C. (c ) ` a (t) gt 0 for all t gt 0`D. (d) ` v (t) ` lies between (0) and (2)`

Answer» Correct Answer - A::D
` x=t -sin t , velocity, ` v ( dx0/(dt) =1 t , acc. A = (dv)/(dt) = sin t`
:. X (t) gt 0 ` fro all values ` t gto ` and ` v (t) can be zero for one value of (t) .(a) (t) can be zero for one value of (t) .
If ` t=0, v 9t) = 1 - 1 =0`.
if ` t= pi , v9t) = 1 - cos pi = 1 - (-1) =2`.


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