Example 1. The speed of a point $v=0.1 t^{3} m /$ sec. Find the path $s$ traveled by the point over the time interval $T=10$ sec, from the start of the motion. What is the average speed of the point over this interval?
Solution. By formula (5.23) we get

$$
s=\int_{0}^{10} 0.1 t^{3} d t=0.1 \cdot \left.\frac{t^{4}}{4}\right|_{0} ^{10}=250 \mathrm{M}
$$

Therefore,

$$
v_{\mathrm{cp}}=\frac{s}{T}=25 \mathrm{M} / \text{sec}
$$