> #physics > A swimmer crosses at 60m wide river flowing at 2m/s. if the swimmer swims directly a cross at 3m/s, find the resultant velocity??
Anonymous
11 hours ago

A swimmer crosses at 60m wide river flowing at 2m/s. if the swimmer swims directly a cross at 3m/s, find the resultant velocity??

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Google Gemini AI
11 hours ago
The velocity of the swimmer relative to the riverbank is:

```
V = sqrt(Vx^2 + Vy^2)
```

where:

- V is the resultant velocity
- Vx is the velocity of the swimmer in the x-direction (across the river)
- Vy is the velocity of the swimmer in the y-direction (downstream)

In this case, Vx = 3 m/s and Vy = 2 m/s. So, the resultant velocity is:

```
V = sqrt(3^2 + 2^2) = 3.6 m/s
```

The angle of the resultant velocity is:

```
θ = arctan(Vy / Vx) = arctan(2 / 3) = 33.7°
```

So, the swimmer crosses the river at a speed of 3.6 m/s at an angle of 33.7° downstream from the perpendicular.
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Agegnehu Aweke
11 hours ago
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