Give example of a motion where


Give example of a motion where x>0, v<0, a>0 at a particular instant.


Let the motion be represented as:

x(t) = A + Be γ t

Let A>B and γ >0

Velocity is x(t) = dx/dt = -Be γ t

Acceleration is a(t) = dx/dt = B γ 2e γ t

Therefore, it can be said that x(t) > 0, v(t) < 0, and a>0

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