Velocity of the river with respect to ground is given by `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 at `t= 0.` The equation of trajectory of the path followed by the swimmer is A. `y= (x^3)/(3 v_0^3)`B. `y= (x^2)/(2 v_0^2)`C. `y= x/v_0`D. `y= sqrt(x/v_0)`

Velocity of the river with respect to ground is given by `v_0.` Width

1.	Velocity of the river with respect to ground is given by `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 at `t= 0.` The equation of trajectory of the path followed by the swimmer is A. `y= (x^3)/(3 v_0^3)`B. `y= (x^2)/(2 v_0^2)`C. `y= x/v_0`D. `y= sqrt(x/v_0)`
Answer» Correct Answer - A `(dv_Y)/(dt)=2t` `:. v_y=t^2 or (dy)/(dt)=t^2` or `y=t^3/3` and `x=v_0t rArr t=x/v` Substituting in Eq. (i) we have, `y=x^3/(3v_0^3)`

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