How Do You Calculate Vector Components of a Rocket's Velocity?

AI Thread Summary
To calculate the vector components of a rocket's velocity heading at 40° West of North at 150 m/s, one must first draw the vector representation, marking the northward and westward components. The northward component can be calculated using the cosine function, while the westward component uses the sine function, applying the principles of trigonometry (SOHCAHTOA). A visual representation can be created by drawing a compass-like diagram, with lines indicating the north and west directions. The discussion emphasizes the importance of understanding vector decomposition and the correct application of trigonometric functions. Properly visualizing the problem and applying these calculations will yield the desired components of the rocket's velocity.
josephcung
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A rocket heads at an angel of 40° West of North at a speed of 150 m/s.

A Draw the vector representing the planes flight and show the westward and northward components of it's velocity.

b. Calculate the westward and northward components of the plane's velocity.

Please i really need help especially with how i would have to draw.

Thank You!
 
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Did you mix parts from two different problems in your other post?
 
Surely you can draw the picture yourself, can't you? Make a plus sign (+). Think of each of the four lines coming out from the center as lines on a compass. Which one will be north? Which will be west? Draw a line that is 40 degrees west from the north line.

As for the components...this involves a little bit of trigonometry. Remember [URL="https://www.physicsforums.com/insights/sohcahtoa-seemingly-simple-conceivably-complex/"]SOHCAHTOA[/url]?
 

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