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Question
Give example of a motion where x > 0, v < 0, a > 0 at a particular instant.
Solution
Let the motion is represented by `x(t) = A + Be^(-γt)` .....(i)
Let A > B and ϒ > 0
Now velocity `x(t) = (dx)/(dt) = - Bγ^(-γt)`
Acceleration `a(t) = (dx)/(dt) = Bγ^2e^(-γt)`
Suppose we are considering any instant t, then from equation (i), we can say that
x(t) > 0; v(t) < 0 and a > 0
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