The body slides off an inclined plane

Adeopapposaurus
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Homework Statement
The body slides off an inclined plane with an inclination angle of α = 60°. After t = 2s, the body speed is v = 14.7 m/s. Find the friction coefficient f. The initial velocity of the body is 0 m/s and the gravity acceleration g = 10 m/s^2 .
Relevant Equations
F = f * N
F = fmg*cos(α)
ma = mg * sinα - fmg * cosα
ma = mg * sinα - fmg * cosα
a = g (sinα-f * cosα)
v = g*t(sinα - f * cosα)
14.7 = 10 * 2 (sin60 - f * cos60)
f = 0.26

Can someone please check if my solution is correct? I'd really appreciate that.
 
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