Give example of a motion where`x gt 0 , v lt 0, a gt 0` at a particular instant.

Explanation

Let the motion is represented by
`x (t) = 4 + 5e ^(- gammat) " "…(1)`
Let `A gt B and gamma gt 0`
Now velocity `x (t) = (dx)/(dt) =- 5 (7) e ^(-7t)`
Acceleration `a (t) = (dx)/(dt) = 5 (7) ^(2) e^(-7t)`
Suppose we are considering any instnat t, then from Eq. (i) we can say that `x (t) gt 0, v (t) lt 0 and a gt 0.`