A $225$ g object is attached to a spring that has a force constant of $75\mathrm{.}5\frac{N}{m}.$ The object is pulled $8\mathrm{.}75$ cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table.

Calculate the maximum speed $v_{\text{m}\text{a}\text{x}}$ of the object.

$v_{\text{m}\text{a}\text{x}}=$

m$/$s

Find the locations of the object when its speed is one$-$third of its maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative.

position:

cm

position:

cm