Two boats are anchored a distance 'd' apart in a sea, where seabed is at a uniform depth of D and consists of a flat rock bed. If a gun is fired at a boat, in how much time will the firing be heard at te other boat? (Given: speed of sound in air is `v_(a)`. in the water is `v_(w)` and in the rock is `v_(r)`)

Two cars A and B are running with same speed v . A along east and B towards north. Car A is at origin O and B is at distance d as shown. After how much time, the distance between cars is minimum and what is the minimum distance?

Two balls are fired form ground level, a distance d apart. The right one is fired vertically with speed v . You wish to simultancously fire the left one at appropriate velocity u so that collides with the right ball when they reach their highest point. Value of horizontal (u_(x)) and vertical (u_(y)) components of u are respectively :- .

Two balls are fired form ground level, a distance d apart. The right one is fired vertically with speed v . You wish to simultancously fire the left one at appropriate velocity u so that collides with the right ball when they reach their highest point. Value of horizontal (u_(x)) and vertical (u_(y)) components of u are respectively :- .

Two balls are fired form ground level, a distance d apart. The right one is fired vertically with speed v . You wish to simultancously fire the left one at appropriate velocity u so that collides with the right ball when they reach their highest point. Value of horizontal (u_(x)) and vertical (u_(y)) components of u are respectively :- .

A boat makes one round trip along the line AB in the river of width d. If speed of boat in still water is u and speed of water flow in the river is v, then time taken to complete the trip, is B V A

Two observers are stationed in two boats 4.5 km apart. A sound signal sent by one,under water, reaches the other after 3 seconds. What is the speed of sound in the water? Distance between two observers, d = 4 .54 km To find : speed of sound, V = d/t= ?

Two long wires are placed on a pair of parallel rails perpendicular to the wires. The spacing between the rails d is large compared with x, the distance between the wires. Both wires and rails are made of a material of resistivity rho per unit length. A magnetic flux density B is applied perpendicular to the rectangle by the wires and rails. One wire is moved along the rails with a uniform speed v while the other is held stationary. Determine how the force on the stationary wire varies with x and show that it vanishes for a value of x approximately equal to