High School

A vector is 47.3 m long and points in a 39.4-degree direction. Find the y-component of the vector.

Answer :

The y-component of the vector is approximately 29.739 meters.

Magnitude of the vector (V) = 47.3 meters

Angle (θ) = 39.4 degrees

To find the y-component (Vy), use the formula:

Vy = V * sin(θ)

Substitute the values:

Vy = 47.3 meters * sin(39.4 degrees)

Calculate the result:

Vy ≈ 47.3 meters * 0.63

Vy ≈ 29.739 meters

Therefore, the y-component of the vector is approximately 29.739 meters.