If the force exerted on the crate is given by

in Newtons, where t is in seconds, determine the crate's velocity when t$=5\mathrm{.}8$s$.$ The coefficients of static and kinetic friction between the crate and the ground are $0\mathrm{.}40$ and $0\mathrm{.}16$ respectively. The crate's mass is $80$ kg$,$ and the vertical force applied on the crate P$=100$ N$.$ Assume $\backslash$alpha $=360$