Serway & Jewett — Motion in Two Dimensions: Problem 10

A rock is thrown upward from level ground in such a way that the maximum height of its flight is equal to its horizontal range \( R \). (a) At what angle \( \theta \) is the rock thrown? (b) In terms of its original range \( R \), what is the range \( R_{max} \) the rock can attain if it is launched at the same speed but at the optimal angle for maximum range? (c) What If? Would your answer to part (a) be different if the rock is thrown with the same speed on a different planet? Explain.