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