A boat can travel with a speed of $v$ km/h in still water. It is pointed directly across a river flowing at $u$ km/h. If the width of the river is $d$ km, how far downstream from its intended landing point will the boat be carried?

Two forces, each equal to $\frac{P}{2}$, act at right angles. Their effect may be neutralized by a third force acting along their bisector in the opposite direction with a magnitude of

The magnitude of resultant of three vectors of magnitude 1, 2 and 3 whose directions are those of the sides of an equilateral triangle taken in order is

A boat is sent a cross a river with a velocity of $8\,\,km/hr$. If the resultant velocity of boat is $10\,\,km/hr$, Then velocity of the river is

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

If a boat takes 2 hours to travel 20 km downstream and 4 hours to travel the same distance upstream, what is the speed of the boat in still water?

The sum of the magnitudes of two forces acting at a point is 16 N. the resultant of these forces is perpendicular to the smaller force has a magnitude of 8 N. If the smaller force is magnitude x, then the value of x is

A boat of mass 50 kg is ${O^ + }$ the rest. A dog of mass 5 kg moves in the boat with a velocity of 20 m/s. What is the velocity of a boat? (nearly)

A boat is sent a cross a river with a velocity of $8\,\,km/hr$. If the resultant velocity of boat is $10\,\,km/hr$, Then velocity of the river is

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 swimmer can swim at a speed of $v_s$ in still water. If they want to cross a river flowing due east with a speed of $v_r$ via the shortest path, which of the following expressions represents the angle $heta$ they should make with respect to north, assuming they start from the south bank?