A sailboat is traveling due east, with a speed V=Vinit at time t = 0 and a constant eastward acceleration A(motor). From a time t = t(gust) to a time t=t(calm), a gust of wind gives the boat an additional acceleration A(wind) at an angle 60o North of East. Find an expression in terms of the quantities given for the North and East components of the boat's velocity at the time t(calm).
Just basic 2 dimensional kinematic like
Vfs= Vis + Ast
Sf= Si+ Vis(t) + 1/2 As(t)^2
3. The Attempt at a Solution
I thought about this and think East components = Vinit + ( A motor + A wind (1/2)) (tcalm-t0)
and North components = A wind (√3/2) (tcalm-t0)
I mostly added the vectors of A wind and A motor, I am not sure if that is right. Please clarify or correct me if I am wrong, thank you.