How Do You Calculate Displacement in Vector Kinematics?

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To calculate the total displacement of the duck, first break down the two paddling distances into their vector components, considering the angles provided. The first displacement of 22m at 36 degrees North of East and the second displacement of 65m at 25 degrees South of East should be resolved into their respective North-South and East-West components. After summing these components, apply the Pythagorean theorem to find the resultant displacement vector. The final displacement can then be expressed in magnitude and direction, which is essential for calculating average velocity. Understanding vector addition and trigonometric functions is crucial for solving displacement problems in vector kinematics.
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Homework Statement



In a total time of 2.0 min, a duck on a pond paddles 22m [36deg N of E] and then paddles another 65 m [E 25deg S].

Determine the duck's

i) total distance...I answered this.
ii) average speed...I answered this.
iii) total displacement...This is my dilema.
iv) average velocity...I can aswer this one once I know the displacement.

Homework Equations



I'm really not sure how to go about finding the displacement when angles are involved. Do I use trig or one of the formula's?

The Attempt at a Solution



Using trig on the vector diagram I came up with a displacement of 34m [E 25deg S].
 
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split the two displacements into componenets (N,W,S,E)
then sum them up (but don't forget to subtract when necessary)
I mean use vector sum :)
 

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