Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A ball can be thrown at over level ground. Take .
On level ground . It is largest at , where . The angles and give the same range.
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.
Step 1. Greatest range. At : .
Step 2. The two ranges. At : . At , , so the range is also .
Step 3. The two times. , and .
Answer: (a) , at . (b) for both. (c) The throw: , against .
Check. The throw rises much higher, against . That is why it takes longer to come down at the same spot.
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