Identical rubber spheres are launched from ground level with the same initial speed…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Identical rubber spheres are launched from ground level with the same initial speed v0v_0 but at three different launch angles of 30∘30^{\circ}, 45∘45^{\circ}, and 60∘60^{\circ} above the horizontal. Air resistance is negligible and the ground is level. (a) Rank the three projectiles according to their horizontal range, from greatest to least. If any are equal, state so explicitly and give them the same rank. (b) Rank the three projectiles according to the time each spends in the air before returning to ground level. (c) Rank the three projectiles according to the maximum vertical component of velocity that each projectile attains during its flight. (d) Choose one of the rankings from parts (a)–(c) and provide a clear explanation for the order you selected, citing relevant physical principles.

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