Solve Vector Trajectory Homework: Find Velocity, Draw Diagram

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Homework Statement


An object is traveling N59.5E at 5.5 m/s
It experiences an acceleration of 4.4 m/s^2, S76.6E for 1.5 Seconds
When it ends it proceeds for 2.6 seconds with no acceleration
Then is experiences a second acceleration of 4.4 m/s^2, N59.5E for 2.1 seconds

I need to find out the velocity at the end of the two accelerations and draw a diagrm of the path taken by the object

Homework Equations


d=v1t + 1/2at^2
Sine Law

The Attempt at a Solution



I proceeded to find the resultant velocity's magnitude by doing the sqaure root of 5.5^2 + 6.6^2, then using sine law to find the direction of 41.45 degrees. I know i now have to do it again 2 times but i was wondering if this was right?
 
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Write the equations in vector form, what is the velocity as a vector and what is the acceleration as a vector?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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