A velocity vector V has a magnitude of 20 m s a... - SS1 Physics Scalar And Vector Quantities Question

A velocity vector V has a magnitude of 20 m/s and is directed at an angle of 30 degrees with the positive x-axis. Resolve the velocity vector into its x and y components.

Given:

Magnitude of velocity (V) = 20 m/s

Angle with the x-axis (θ) = 30 degrees

To find the x and y components, we can use the trigonometric relationships:

Vx = V X cos(θ)

Vy = V X sin(θ)

Calculating the components:

Vx = 20 m/s X cos(30 degrees) = 20 m/s X 0.866 = 17.32 m/s

Vy = 20 m/s X sin(30 degrees) = 20 m/s X 0.5 = 10 m/s

The x component of the velocity vector is 17.32 m/s, and the y component is 10 m/s.

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