Question

A vector is 20.2 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of the-x-axis).

What is the y-component of this vector?

Answer 1

To find the y-component of the vector, we need to use trigonometry. We know that the vector is 20.2 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of the-x-axis). We can use the sine function to find the y-component of the vector.

y-component = magnitude of the vector x sin(angle)

y-component = 20.2 m x sin(60.0°)

y-component = 20.2 m x 0.866

y-component = 17.5 m

Therefore, the y-component of the vector is 17.5 m.