Problem 4.7

A particle moves along the $x$ axis according to the law $x$ $=a \cos \omega t .$ Find the distance that the particle covers during the time interval from $t=0$ to $t$ .

\begin{aligned} &\text { 4.7. } s=\left\{\begin{array}{l} a[n+1-\cos (\omega t-n \pi / 2)], n \text { is even } \\ a[n+\sin (\omega t-n \pi / 2)], n \text { is odd. } \end{array}\right.\\ &\text { Here } n \text { is a whole number of the ratio } 2 \omega t / \pi \end{aligned}

Mechanical Oscillations