A boat moves in still water with a velocity which is `k` times less than the river flow velocity. Find the angle to the stream direction at which the boat should be rowed to minimize drifting.

The force of resistance encountered by water on a motor boat of mass m going in still water with velocity v is proportional to the velocity vdot At t=0 when its velocity is v_0, then engine shuts off. Find an expression for the position of motor boat at time t and also the distance travelled by the boat before it comes to rest. Take the proportionality constant as k > 0.

A body is projected with initial velocity u making an angle theta with the horizontal direction . Find the value of theta for which the horizontal range becomes maximum . Find the maximum range also.

A body is projected with initial velocity u making an angle theta with the horizontal direction. Find the value of theta for which the horizontal range become maximum. Find the maximum range also.

sqrt(3) times the velocity of a boat on still water is twice the velocity of current of a river. At what angle , with respect to the current, should the boat be steered so as to cross the river in least distance ?

A train is moving with a uniform velocity of 66 km per hour along a circular railway line of radius 750 m . Find the angle in degrees which the train subtends at the centre in 10 seconds.