Superhero physics: a) Choose a height between 1.00 miles and3.00 miles. How fast would a superhero have to throw a ballstraight upwards in order for it to rise this high? Give youranswer 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 woulda superhero have to throw a ball straight upwards in order for itto spend this much time in the air (that is, for it to take thatmuch time to return to their hand)? Give your answer in both m/sand mph. Same assumption. c) Without resorting to furthercalculations, which of these two balls will be in the air longer?Explain your reasoning, explicitly citing evidence. d) Choose onecase, (a) or (b), and calculate the time required for the ball torise halfway to its highest point, and the time to rise from thereto the highest point. Check: see next question. e) Why does it takeless time to rise halfway to the highest point than to rise therest of the way?
