Projectile motion from airplanes · CAP 2003 #4

Physics · mechanics

Problem

Three airplanes, A, B and C, each release an object from the same altitude and with the same initial speed v0v_0 with respect to the ground. At the moment their object is released, A is flying horizontally, B is flying upward at an angle θ\theta with respect to the horizontal, and C is flying at the same angle θ\theta as B but downward with respect to the horizontal. Assuming the ground to be horizontal and neglecting any aerodynamical effect, the speeds vv at which the three objects will hit the ground satisfy (a) vA=vB<vCv_A = v_B < v_C; (b) vA>vB=vCv_A > v_B = v_C; (c) vA<vB<vCv_A < v_B < v_C; (d) vA=vB=vCv_A = v_B = v_C.

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