2-D Kinematics Vector Resolution

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Homework Statement

Snoopy is running to his doghouse at 3.0 m/s [N 15° E] for 35 s. Charlie has a bone and calls his dog back. Snoopy immediately turns around and runs towards Charlie at 4.5 m/s [S 45° W] for 30 s. Find Snoopy's displacement.

Homework Equations

dt = d1 + d2
d1=d_1x + d_1y & d2=d_2x + d_2y
d_1x = V_1x/t

The Attempt at a Solution

Ok so I've started off with the components. N, E (+) and W, S (-)
V_1x = (3.0)(sin15) & V_1y = (3.0)(cos15)
V_2x = (-4.5)(cos45) & V_2y = (-4.5)(sin 45)

d_1x = V_1x/t
= (3.0)(sin15)/35
= 0.022m

d_1y = V_1y/t
= (3.0)(cos75)/35
= 0.083m
Therefore d1=0.022+0.083 = 0.11m...

I did the same thing for d2, splitting it up into its component parts. I know that after this I have to use d1, d2 and dr in the pythagorean theorem to find magnitude and then find the vector direction with the tan ratio. I'm just wondering if so far I am on the right track

 

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Agh sorry, please lock this thread. I just rearranged incorrectly for d... it's d=vt not d=v/t
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