Where $=$ k$/$m and A and $0$ are arbitrary constants to be determined by the initial conditions

of the motion. You are given the following information: a block of mass m $=10$ kg is attached to a spring with spring constant k $=2\mathrm{.}5$N$/$m; at time t $=0$ the displacement is zero, and the velocity is $-5$ m$/$s$.$

a$)$ Using the generic solution $(1)$ above ind the form x$($t$)$ for the position as a function of time for the

block $($you need to determine the constants A$,$ and $0).$ Show clearly the steps you took to get to

your answer. Make sure to include the appropriate units for each quantity, A$,0,$ $.$