Two angles are complementary when their sum is 90degrees. Find the ranges for tw

Question

Two angles are complementary when their sum is 90degrees. Find the ranges for two projectiles launched with identical initial speeds of 36.2 m/s at angles of elevation above the horizontal that are complementary pairs. (A) for one trial, the angles of elevation are 36.0degrees and 54.0degrees. (B) For the second trial, the angles of elevation are 23.0degrees and 67.0degrees. (C) Finally, the angles of elevation are both set to 45.0degrees. (D) What do you notice about the range values for each complementary pair of angles? At which of these angles was the range greatest?

Explanation / Answer

range = v^2 x sin(2 x theta)/g , range is always same for complementary angles (check using given formula), range is maximum for angle = 45, because sin (2 x theta) is maximum for 45 ANs.

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