River velocity relative to ground is v₀ along +x. A swimmer starts from rest at O and swims perpendicular to the current with acceleration a=2t. Find the equation of the swimmer's trajectory.

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G1 Physics · Accepted Answer

Along x, x=v₀t. Across the river, aᵧ=2t. Starting from rest: vᵧ=t² and y=t³/3. Since t=x/v₀, y=x³/(3v₀³). Option A.