How Do You Calculate Displacement in Vector Kinematics?

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SUMMARY

The discussion focuses on calculating the total displacement of a duck paddling on a pond, covering two segments: 22 meters at 36 degrees North of East and 65 meters at 25 degrees South of East. The user successfully applied trigonometric methods to resolve the vectors into components, ultimately determining the total displacement to be 34 meters at 25 degrees South of East. This calculation is essential for further determining average velocity, as displacement is a critical factor in the formula.

PREREQUISITES
  • Understanding of vector components and resolution
  • Knowledge of trigonometric functions (sine, cosine)
  • Familiarity with kinematic equations
  • Ability to interpret angles in vector notation
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  • Study vector addition techniques in physics
  • Learn how to resolve vectors into components using trigonometry
  • Explore kinematic equations related to displacement and velocity
  • Practice problems involving displacement in two-dimensional motion
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of vector resolution and displacement calculations.

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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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