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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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10 hours ago
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#physics
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
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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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