The displacement (in centimeters) of a particle moving along a straight line is given by [ s(t)=frac{t^{3}}{3}-t^{2}-3 t ] where ( t ) is measured in seconds. (a) Find the average velocity of the particle between ( t=1 ) and ( t=3 ).
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Mathematically, this can be expressed as: \[ \text{Average Velocity} = \frac{s(t_2) - s(t_1)}{t_2 - t_1} \] where \( s(t) \) is the displacement function, \( t_1 \) is the initial time, and \( t_2 \) is the final time. Show more…
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