Calculate displacement [Two Dimensional Kinematics]

In summary, a skidding car with an initial velocity of 6.75m/s at an angle of 58.82657 degrees north of east and a final velocity of 3.25 m/s at an angle of 49.6091 degrees south of east travels with a constant acceleration for 4 seconds. After solving for the x and y components and converting from polar to cartesian form, the car's displacement is determined to be 14.73222776m. However, it is possible that there may be a mistake in the approach used to solve the problem.
  • #1
HanSomPa
1
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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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  • #2
without working through the problem I can say that I don't think it should have that many sig figs in it.
 

FAQ: Calculate displacement [Two Dimensional Kinematics]

What is displacement?

Displacement is a measurement of the change in an object's position. It is a vector quantity that takes into account both the distance an object has traveled and the direction of its movement.

How do you calculate displacement?

To calculate displacement in two-dimensional kinematics, you can use the formula: D = √(Δx² + Δy²), where Δx is the change in the object's horizontal position and Δy is the change in its vertical position.

What is the difference between displacement and distance?

Displacement is a vector quantity that measures the change in position from the starting point to the ending point, taking into account the direction of movement. Distance, on the other hand, is a scalar quantity that measures the total amount of ground covered by an object.

How do you find the magnitude and direction of displacement?

The magnitude of displacement can be found by using the Pythagorean theorem with the horizontal and vertical components of the displacement. The direction can be found by calculating the inverse tangent of the vertical and horizontal components.

Can displacement be negative?

Yes, displacement can be negative. This indicates that the object has moved in the opposite direction from its starting point. Positive displacement indicates movement in the same direction as the starting point.

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