Optimal Shell Throwing Strategy · CAP 2023 #4

Physics · mechanics

Problem

A very smart bird is sitting on a roof holding a shell in its beak. It wants to throw the shell so that it hits the ground with the highest speed possible. Assuming air resistance is negligible, and initial speed is constant in all scenarios (vA=vB=vCv_A = v_B = v_C), how should the bird throw the shell so that its final speed before hitting the ground is greatest? a) Throw it upwards (vAv_A) b) Throw it horizontally (vBv_B) c) Throw it downwards (vCv_C) d) A and C produce a faster final speed than B e) A, B, and C all produce the same final speed

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