Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER2006PhysicsMotion in Two Dimensions

A river is flowing from west to east with a speed of 5 ~m / min . A man can swim in still water with a velocity 10 ~m / min . In which direction should the man swim so, as to take the shortest possible path to go to the south?

Options

  1. A30^ east of south
  2. B60^ east of south
  3. C60^ west of south
  4. D30^ west of north

Correct answer

A. 30^ east of south

Step-by-step solution

Let the swimmer swims at an angle with the vertical. aligned & = v_r v_s = 5 10 = 1 2 = 30^ & =30^ aligned The swimmer should swim 30^ east of south to take the shortest possible path to go to the south.

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T . If speed becomes 2 while keeping the same radius, the ten 2024A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true? 2023A ball is projected from point A with velocity 20 ~m ~s ⁻¹ at an angle 60^ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v ~m ~ 2023A bullet is fired from a gun at the speed of   280   m   s - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m ^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is 2023A ball is projected with a velocity, 10   m   s - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m / s ^2 ) 2022 Full Motion in Two Dimensions list All JIPMER PYQs