The speed of a river varies across its width d according to v(y) = v₀y/d, where y is measured from one bank. A swimmer moves perpendicular to the banks with constant speed u relative to water. The downstream drift during crossing is:

Physics · Kinematics part-3 Relative motion · River problem

The speed of a river varies across its width d according to v(y) = v₀y/d, where y is measured from one bank. A swimmer moves perpendicular to the banks with constant speed u relative to water. The downstream drift during crossing is:

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