Vector Displacement Magnitude Calculation

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To calculate the displacement magnitude of a car that travels 80.0 km west and then 30.0 km southwest, it is essential to break the movements into vector components. The initial westward movement contributes entirely to the x-component, while the southwest movement requires trigonometric functions to determine both x and y components. The resultant vector can then be found by summing these components and applying the Pythagorean theorem. The discussion emphasizes the importance of correctly identifying angles and using vector addition techniques. Clarifying the steps taken in the calculations is crucial for identifying any errors in the approach.
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Homework Statement



After driving 80.0 km west, a car turns southwest and proceeds another 30.0 km. What is the displacement of the car from the point of origin (magnitude only)?


Homework Equations


The Attempt at a Solution



I tried drawing this out. I am given no angles, does this mean i add the vectors in head to tail fashion. or do i use trig and additon of vector components? please help. I am not asking for the answer just steps/explanations.
 
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kelli said:

Homework Statement



After driving 80.0 km west, a car turns southwest and proceeds another 30.0 km. What is the displacement of the car from the point of origin (magnitude only)?


Homework Equations





The Attempt at a Solution



I tried drawing this out. I used trig to find out the x and y components. my resultant was 84 however the answer is wrong. I just don't know how to find the angles. I can do vector problems, but I've never done one without a given angle.

Welcome to the PF.

Please show us your work so we can find the error...
 

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