Velocity of the river with respect to ground is given by

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

v_0

. Width of the river is

d

. A swimmer swims (with respect to water) perpendicular to the current with acceleration

a = 2t

(where

t

is time) starting from rest from the origin

O

t = 0

. The equation of trajectory of the path followed by the swimmer is (A)

y = \frac{x^3}{3v_0^3}

(B)

y = \frac{x^2}{2v_0^2}

(C)

y = \frac{x}{v_0}

(D)

y = \sqrt{\frac{x}{v_0}}