Assignment$($Book Ref.: Sec. $2\mathrm{.}6$ and $3\mathrm{.}7)$

Write a VPython program that will simulate the motion of a spring$-$mass system un$-$

dergoing the force of gravity with respect to some fixed point. Use Hooke's Law, a spring

constant of $4\frac{N}{m},$ a mass of $0\mathrm{.}5$ kg $,$ and an equilibrium spring length of $1$ m $.$

Plot the following quantities:

Plot the velocity as a function of time.

$2\mathrm{.}1.$ Answer the following:

Which variables does the period depend on$?$ Test different values for the amplitude,

mass, and spring constant.

Do these values agree with the theoretical values?

$T=2\sqrt[\phantom{2}]{\frac{m}{k}}$

Write a report that contains all the relevant information.