Question

What angle between 0 degrees and 90 degrees will yield maximum range of a projectile? If a ball is launched 20 degrees which is acute angle will yield the same range? What if the angle is 10 degrees or 30 degrees.

Answer 1

The angle between 0 degrees and 90 degrees that yields the maximum range of a projectile is 45 degrees. Two initial launch angles that sum to 90 degrees also yield the same range.

Step-by-step explanation:

The angle between 0 degrees and 90 degrees that will yield the maximum range of a projectile is 45 degrees. This is true if we assume negligible air resistance. If air resistance is considered, the maximum angle would be slightly smaller, approximately 38 degrees. Interestingly, two initial launch angles that sum to 90 degrees also yield the same range. For example, if a ball is launched at 20 degrees, an acute angle, the range would be the same as if it was launched at 70 degrees, an obtuse angle.