Question

The Velocity, ft/sec, of a particle moving along the x-axis is given by the function v(t)= e^t +te^t. What is the average velocity of the particle from time t=0 to time t=3.

Answer 1

The average velocity is given by:
\[t_0<t<t_f \implies \bar{v}(t)=\frac{1}{t_f-t_0} \int\limits_{t_0}^{t_f} v(t)dt\]