Problem 4.1

A point oscillates along the $x$ axis according to the law $x$ $=a \cos (\omega t-\pi / 4) .$ Draw the approximate plots (a) of displacement $x$, velocity projection $v_{x}$, and acceleration projection $w_{x}$ as functions of time $t$ (b) velocity projection $v_{x}$ and acceleration projection $w_{x}$ as functions of the coordinate $x$.