A rocket accelerates straight up from the ground at $12\mathrm{.}9$ m$/$s$\mathrm{²}$ for $11\mathrm{.}07$ s$.$ Then the engine cuts off and the rocket enters free fall.  

a$)$ find the velocity at the end of its upward acceleration 

b$)$ what max height does it reach

c$)$ with what velocity does it crash to earth

d$)$ what's the total time from launch to crash