A displacement vector r in the xy plane is 6 m long and directed at angle [Theta] = 36°. Determine the x and y components of the vector.
_____ m (x component)
_____ m (y component)
I will be happy to check your answers, or critique your thinking. We don't do tests for students.
it's not a test. just a hw assignment one of a bunch of questions im stuck on.
~lor
y= 3.52m
x= 4.85m
No problem! I can help you with your assignment. To determine the x and y components of a vector, we can use trigonometric functions. In this case, we have a displacement vector with a length of 6 m and an angle of 36°.
To find the x component, we can use the equation:
x component = displacement * cos(angle)
Substituting the given values:
x component = 6 m * cos(36°)
Using a calculator, we can solve this:
x component ≈ 4.85 m
To find the y component, we can use the equation:
y component = displacement * sin(angle)
Substituting the given values:
y component = 6 m * sin(36°)
Using a calculator, we can solve this:
y component ≈ 3.64 m
Therefore, the x component of the displacement vector is approximately 4.85 m, and the y component is approximately 3.64 m.