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Lösung 1.1:3
Aus Online Mathematik Brückenkurs 2
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Version vom 10:00, 11. Mär. 2009
The ball hits the ground when its height is zero, i.e. when
This quadratic equation has the solutions
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where the positive root is the time when the ball hits the ground.
We obtain the ball's speed as a function of time as the time derivative of the height,
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If we substitute the time when the ball hits the ground, we obtain the ball's speed at that instant,
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The minus sign indicates that the speed is directed downwards, and the ball's speed is therefore 14.0 m/s.