How Do You Calculate the Velocity of a Soccer Ball Relative to the Ground?

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SUMMARY

The discussion focuses on calculating the velocity of a soccer ball relative to the ground while considering the motion of two players, Mia and Alice. Mia runs due north at 5.80 m/s, while the ball's velocity relative to her is 5.90 m/s at 30.0 degrees east of south. To find the ball's velocity relative to the ground, one must apply vector addition principles. The second scenario involves Mia running at 6 m/s north and the ball moving due south at 7 m/s, requiring similar calculations for the resultant velocity.

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Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 5.80 . The velocity of the ball relative to Mia is 5.90m/s in a direction 30.0 degrees east of south.

What is the magnitude of the velocity of the ball relative to the ground?

What is the direction of the velocity of the ball relative to the ground?

How should I start this other then making a diagram haha. Which formulas.
 
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Perhaps consider how you would solve this much simpler problem first...

Mia is running due north with a speed of 6m/s. The velocity of the ball relative to Mia is 7m/s in a direction due south. What is the magnitude of the velocity of the ball relative to the ground?
 

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