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For the one dimensional motion, describe...

For the one dimensional motion, described by `x=t-sint`

A

` x (t) gt o for all t gt 0`

B

` v (t) gt0 for all t gt 0`

C

` a (t) gt 0 for all t gt 0`

D

`v (t)` lies between (0) and (2)

Text Solution

Verified by Experts

The correct Answer is:
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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