Give example of a motion where ` x gt 0, vlt 0, agt ` at a particular

1.	Give example of a motion where ` x gt 0, vlt 0, agt ` at a particular instant.
Answer» Let the motion is represented by `x(t) = A + Be^(-gammat)` Let `A gt B` and `gamma gt 0` Now velocity `x(t) = (dx)/(dt) = -Bgammae^(-gammat)` Acceleration `a(t) = (dx)/(dT) = Bgamma^(2)e^(-gammat)` Suppose we are considering any instant t, then from Eq. (i) , we can say that `x(t) gt 0, v(t) lt 0` and `a gt 0`

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Give example of a motion where ` x gt 0, vlt 0, agt ` at a particular instant.

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