SOLUTION: How do u find the resultant vector's magnitude as well as anlge using 5.0 m/s, 45 deg + 2.0 m/s, 180 deg the ansner is = 3.85m/s, 66.5 deg but i would like to know how to do it

Question 252815: How do u find the resultant vector's magnitude as well as anlge using 5.0 m/s, 45 deg + 2.0 m/s, 180 deg
the ansner is = 3.85m/s, 66.5 deg but i would like to know how to do it and the formula you have used
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do u find the resultant vector's magnitude as well as anlge using 5.0 m/s, 45 deg + 2.0 m/s, 180 deg
the ansner is = 3.85m/s, 66.5 deg but i would like to know how to do it and the formula you have used
------------------------------
Resolve the 2 vectors into x and y components: i = x dir, j = y dir
5.0 m/s, 45 deg --> 5*sin(45)i +5*cos(45)j
2.0 m/s, 180 deg --> -2i
Add the components
= 1.5355i + 3.5535j (the resultant vector)
Magnitude = sqrt(i^2 + j^2) = sqrt(2.3579 + 12.5) = 3.85 m/sec
direction = arctan(j/i) = arctan(2.3025)
direction = 66.5 degs
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There's a better method, if you know vectors.
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