Final answer:
The N component of a resultant 32.5 m/s, 35.0 º E of N velocity is found using the cosine function of the angle, resulting in an approximate value of 26.62 m/s towards the north.
Step-by-step explanation:
To calculate the N component of a resultant 32.5 m/s, 35.0 º E of N, you can use trigonometric functions based on the given direction and magnitude. The northward component (N component) refers to the part of the velocity vector that points directly north.
The formula to calculate the northward (N) component is:
VN = V × cos(θ)
Where V is the magnitude of the velocity and θ (theta) is the angle from the north. In this case:
VN = 32.5 m/s × cos(35°)
By calculating this, you can find the N component of the velocity:
VN = 32.5 m/s × 0.8192 ≈ 26.62 m/s
So, the northward component of the resultant velocity is approximately 26.62 m/s in the N direction.