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Superhero physics: a) Choose a height between 1.00 miles and 3.00 miles. How fast would a...

Superhero physics: a) Choose a height between 1.00 miles and 3.00 miles. How fast would a superhero have to throw a ball straight upwards in order for it to rise this high? Give your answer in both m/s and mph. Assume air resistance is negligible, since at these speeds that's as believable as superheroes are. b) Choose a time between 1.00 minutes and 3.00 minutes. How fast would a superhero have to throw a ball straight upwards in order for it to spend this much time in the air (that is, for it to take that much time to return to their hand)? Give your answer in both m/s and mph. Same assumption. c) Without resorting to further calculations, which of these two balls will be in the air longer? Explain your reasoning, explicitly citing evidence. d) Choose one case, (a) or (b), and calculate the time required for the ball to rise halfway to its highest point, and the time to rise from there to the highest point. Check: see next question. e) Why does it take less time to rise halfway to the highest point than to rise the rest of the way?

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