There is a 3Kg crate at the bottom of an incline, initially moving at $\displaystyle 3 m.s^{-1}$. The incline is 20 degrees and frictionless. The crate moves through a displacement of d metres and comes to a stop. Calculate d.

I did the following:

$\displaystyle (E_{p} + E_{k})_{Bottom} = (E_{p} + E_{k})_{Top} $

$\displaystyle 0 + {1/2}.(3).(3)^2 = (3).(9.8).Sin20.d + 0$

$\displaystyle d = 1.34m$

Is this correct?