A small box with mass $0\mathrm{.}5$ kg isNattached to a spring $(200$andoscillates left and right with nodissipative forces. At time t $=0,$ thebox is $25$ cm to the right of its equilibrium position and moving left with a speed of $3$m$/$s$.$a$)$ What is the maximum distance to the right of tis equillibrium position the box will reach?$($b$)$ What is the maximum speed the box will reach as it oscillates?$($c$)$ What is the period of the box's oscillations?$($d$)$ What is the maximum magnitude of acceleration the box will experience?