Give example of a motion wherex gt 0 , v lt 0, a gt 0at a particular i

1.	Give example of a motion wherex gt 0 , v lt 0, a gt 0at a particular instant.
Answer» Solution :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.`

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