A boatman can row with a speed of $10$ km/h in still water. If the river flows steadily at $5$ km/h, in which direction should he row his boat in order to reach a point on the other bank directly opposite to the point from where he started? The width of the river is $2$ km.

A boat can travel with a speed of 10 km/h in still water. If the speed of the river is 2 km/h, what is the speed of the boat downstream?

A body starts from rest from the origin with an acceleration of $6\;m/{s^2}$ along the x-axis and $8\;m/{s^2}$ along the y-axis. Its distance from the origin after 4 seconds will be

A swimmer can swim at 25 m/s in still water. A river flows due north at 15 m/s. To cross the river from east to west along the shortest path, what should be the swimmer's velocity component directed towards west?

An airplane can fly at 200 km/h in still air. The wind blows due west at 50 km/h. If the pilot wants to fly due north, at what angle with respect to north should the plane be headed?

A boat can travel at a speed of 10 km/h in still water. If the river flows at 4 km/h, what is the speed of the boat downstream?

The velocity of a boat in still water is 10 m/s . If water flows in the river with a velocity of 6 m/s. What is the difference in times taken to cross the river in the shortest path and the shortest time. The width of the river is 80 m

The position of a particle moving in the xy- plane at any time t is given by $x = \left( {3{t^2} - 6t} \right)$ metres, $y = \left( {{t^2} - 2t} \right)$ metres. Select the correct statement about the moving particle from the following

A motorboat can travel at 10 m/s in still water. It attempts to cross a river flowing at 5 m/s by aiming directly across the river. How far downstream will the boat be carried by the current when it reaches the other side, if the river is 100 meters wide?

A swimmer can swim at 5 km/h in still water. He wants to cross a river flowing at 3 km/h. In what direction should he swim to cross the river in the shortest time?

A boat travels upstream at 6 km/h and downstream at 10 km/h. What is the speed of the boat in still water?