Question

If A is 5 m/s at 30 degrees and B is 6 m/s at 60 degrees, what is B to A?

Answer 1

To determine the ratio of B to A, we need to compare the magnitudes of their velocities. First, let's find the horizontal and vertical components of the velocities for A and B.

For A:
Velocity magnitude (A) = 5 m/s
Horizontal component (A) = 5 m/s * cos(30°)
Vertical component (A) = 5 m/s * sin(30°)

For B:
Velocity magnitude (B) = 6 m/s
Horizontal component (B) = 6 m/s * cos(60°)
Vertical component (B) = 6 m/s * sin(60°)

Now, let's calculate the ratio of B to A by dividing the magnitudes of their velocities:

(B to A) = (Velocity magnitude (B) / Velocity magnitude (A))

Substituting the values:

(B to A) = (6 m/s) / (5 m/s)

Simplifying the ratio:

(B to A) = 1.2

Therefore, B is 1.2 times the magnitude of A.