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Escape from Planet Earth

How fast would you have to throw a ball upwards so that it would never land?

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Gravity Paths

Where will the spaceman go when he falls through these strange planetary systems?

Receding Baseball

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

 

Try to plot chords which represent the distance between the pitcher and the ball.

The derivative of increasing function is positive.

The algebra is much simpler if you try to find a relationship between initial velocities in horizontal and vertical directions.