Consider a projectile launched from ground level with a fixed initial speed and…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Consider a projectile launched from ground level with a fixed initial speed v0v_0 and returning to the same level. Study the two different angles θ1\theta_1 and θ2\theta_2 that can give the same horizontal range and answer the following: (a) Using standard projectile motion relations, prove that θ1+θ2=90∘\theta_1 + \theta_2 = 90^{\circ}. No numerical substitution is required. (b) Show, without calculating actual numerical values, which of the two angles yields the greater maximum height. Give a clear physical or mathematical justification.

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