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A ball is thrown at 20 m/s on the Moon, where g = 1.6 m/s².
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A ball is thrown at 20 m/s on the Moon, where . For the angles 5, 10, ..., 85 degrees, find the range . Which angle gives the longest range, and how long is it? For how many of these angles is the range more than 200 m?
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. Make the array of angles, change to radians, apply the formula once, and use argmax and a mask.
Check. The largest value of is 1, at . Then m. A range above 200 m needs , so between 53.1 and 126.9 degrees, so between 26.6 and 63.4 degrees. Of the multiples of 5, these are 30, 35, 40, 45, 50, 55 and 60: seven angles.
Answer: 45 degrees, with a range of 250.0 m. Seven angles give more than 200 m.
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