#$1$ A mass connected to a spring that is undergoing horizontal simple harmonic motion has the position$-$versus$-$time graph shown.

$x(cm{)}_{\text{u}\text{a}\text{r}\text{r}}$

$($a$.)$ What is the period of the motion? Hint: There's a more precise way than just estimating where the cycle ends. The period is not $2\mathrm{.}5$ s $.$

$($b$.)$ What is the amplitude of the motion?

$($c$.)$ Fill in the following table giving the times when certain behaviors occurred. For full points your must explain how you determined your answers.

$\backslash$table$[[$Behavior$,$Times,$],[\backslash$table$[[$Moving to the left at$],[$maximum speed$]],,],[\backslash$table$[[$Moving to the right$],[$at maximum speed$]],,]]$