Question

Wind is blowing from south at 5m/s to a cyclist it appears to be blowing from east at 5m/s the velocity of cyclist

Answer 1

Answer on Question #38399, Physics, Mechanics

Question:

Wind is blowing from south at $5\mathrm{m / s}$ to a cyclist it appears to be blowing from east at $5\mathrm{m / s}$ the velocity of cyclist

Answer:

Velocity-addition formula:

If a wind is blowing relative to the cyclist with velocity $5\mathrm{m / s}$ from east $(\vec{v})$ and wind is blowing relative to the ground with velocity $5\mathrm{m / s}$ from south $(\vec{u})$ , then the velocity of the cyclist relative to the ground equals the vector sum:

Pythagorean theorem:

$$s ^ {2} = u ^ {2} + v ^ {2} = \sqrt {5 0} \frac {m}{s} = 5 \sqrt {2} \frac {m}{s}$$

And directed to north-east.

Answer: $5\sqrt{2}\frac{m}{s}$