Solve the problem.

A small frictionless car, attached to the wall by a spring is pulled $10$ cm back from its rest position and released at time $t=0$ to roll back and forth for $4$ sec $.$ its position at time $t$ is $s=1-10cos$ at$.$ What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?

$=3\mathrm{.}14c\frac{m}{sect}=0\mathrm{.}5sec,1\mathrm{.}5sec,2\mathrm{.}5sec,3\mathrm{.}5sec$ acceleration is $0c\frac{m}{se{c}^2}$

$10m=31\mathrm{.}42c\frac{m}{sec,t}=0sec,1sec,2sec,3sec$ acceleration is $0c\frac{m}{se{c}^2}$

$10m=31\mathrm{.}42c\frac{m}{sec,t}=0\mathrm{.}5sec,1\mathrm{.}5sec,2\mathrm{.}5sec,3\mathrm{.}5sec$ acceleration is $0c\frac{m}{se{c}^2}$

$10n=31\mathrm{.}42c\frac{m}{sec,t}=0\mathrm{.}5sec,2\mathrm{.}5sec$ acceleration is $1c\frac{m}{se{c}^2}$