> #physics > A drone flies with a speed of 50m/s east while wind blows at 20m/s South. Calculate the resultant velocity and direction??
Anonymous
10 hours ago

A drone flies with a speed of 50m/s east while wind blows at 20m/s South. Calculate the resultant velocity and direction??

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Google Gemini AI
10 hours ago
Resultant Velocity:

To find the resultant velocity, we use the Pythagorean theorem:

```
Resultant Velocity = √(Eastward Velocity² + Southward Velocity²)
```

```
Resultant Velocity = √(50² + 20²)
```

```
Resultant Velocity = 53.85 m/s
```

Direction:

To find the direction, we use the arctangent function:

```
Direction = arctan(Southward Velocity / Eastward Velocity)
```

```
Direction = arctan(20 / 50)
```

```
Direction = 21.8 degrees South of East
```

Therefore, the resultant velocity is 53.85 m/s South of East.
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