Calculate displacement [Two Dimensional Kinematics]

AI Thread Summary
The discussion focuses on calculating the displacement of a skidding car that starts with a velocity of 6.75 m/s at an angle of 58.83 degrees north of east and ends with a velocity of 3.25 m/s at 49.61 degrees south of east after 4 seconds. The user decomposed the velocities into components and applied the equation for displacement. They expressed concern about the number of significant figures in their final answer of 14.73 m. The user is uncertain about their approach and seeks validation of their calculations. The thread highlights the importance of proper vector decomposition and significant figure considerations in kinematics problems.
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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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