Question

Find the x and y components of a position vector r⃗ , of magnitude r = 66 m , if its angle relative to the x axis is 40.0 ∘. Express your answers in meters using two significant figures. Enter your answers numerically separated by a comma.

And then when the x axis is 70 degrees

Answer 1

The x and y components of the position vector are 50.3 m and 44.3 m, respectively.

Step-by-step explanation:

To find the x and y components of a position vector r⃗ , of magnitude r = 66 m , with an angle of 40.0° relative to the x-axis, we can use trigonometric functions.

The x component of the vector can be found by multiplying the magnitude of the vector by the cosine of the angle: x = r * cos(θ). On substituting the given values, we get x = 66 * cos(40.0°) = 50.3 m.

The y component of the vector can be found by multiplying the magnitude of the vector by the sine of the angle: y = r * sin(θ). On substituting the given values, we get y = 66 * sin(40.0°) = 44.3 m.