Consider a projectile launched from ground level with a fixed initial speed v0 and returning to the same level.
Study the two different angles θ1 and θ2 that can give the same horizontal range and answer the following:
a. (a) Using standard projectile motion relations, prove that θ1+θ2=90∘. No numerical substitution is required.
b. (b) Show, without calculating actual numerical values, which of the two angles yields the greater maximum height. Give a clear physical or mathematical justification.