Calculate displacement [Two Dimensional Kinematics]

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SUMMARY

The discussion centers on calculating the displacement of a skidding car using two-dimensional kinematics. The car starts with a velocity of 6.75 m/s at an angle of 58.82657 degrees north of east and ends with a velocity of 3.25 m/s at an angle of 49.6091 degrees south of east after 4 seconds. The user applied the equation x - xi = 1/2(v + vi)t to determine the displacement, ultimately calculating a final displacement of 14.73222776 m. The user expressed concern about the significant figures in their answer.

PREREQUISITES
  • Understanding of vector decomposition in two dimensions
  • Familiarity with kinematic equations, specifically x - xi = 1/2(v + vi)t
  • Knowledge of polar and Cartesian coordinate systems
  • Basic principles of significant figures in scientific calculations
NEXT STEPS
  • Review vector decomposition techniques for two-dimensional motion
  • Study the application of kinematic equations in various scenarios
  • Learn about converting between polar and Cartesian coordinates
  • Understand the rules for determining significant figures in calculations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of displacement calculations in two-dimensional motion.

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Homework Statement


A skidding car starts moving with a velocity of 6.75m/s at an angle of 58.82657 degrees north of east. Its velocity just before it comes out of its skid 4 seconds later is 3.25 m/s at an angle of 49.6091 degrees south of east. It travels with a constant acceleration while it is in the skid. What was the car's displacement


Homework Equations


None really imo.


The Attempt at a Solution


I took apart both vectors and figured out the components.

After that I inserted the variables into x-xi=1/2(v+vi)t

After I got the answer for both the x and y values. I put the answers from polar form into cartesian form. My final answer is 14.73222776m. Did I get this right? Because honestly, I think I'm approaching this problem in a wrong way.
 
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without working through the problem I can say that I don't think it should have that many sig figs in it.
 

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