A ship A is moving Westwards with a speed of 10 km h 1 and a ship B 100 km South of is A, is moving

A ship A is moving Westwards with a speed of 10kmh^(-1) and a ship B 100km South of A is moving northwards with a speed of 10kmh^(-1) . The time after which the distance between them shortest is

Two parallel rail tracks run north-south Train A moves north with a speed of 54 km h^(-1) and train B moves south with a speed of 90 km h^(-1) . What is the a. relative velocity of B with respect to A ? b. relative of a monkey running on the roof of the train A against its motion (with its velocity of 18 km h^(1) with respect to the train A ) as observed by a man standing on the ground?

Two parallel rail tracks run north-south Train A moves north with a speed of 54 km h^(-1) and train B moves south with a speed of 90 km h^(-1) . What is the a. relative velocity of B with respect to A ? b. relative velocity of a monkey running on the roof of the train A against its motion (with its velocity of 18 km h^(1) with respect to the train A ) as observed by a man standing on the ground?

A train moves northwards with speed 80 km h^(-1) . While a car moves towards east with a speed of 60 km h^(-1) , what is the velocity of the train w.r.t the driver of the car ?

A car is moving towards east with a speed of 25 km h^-1 . To the driver of the car, a bus appears to move towards north with a speed of 25 sqrt(3) km h^-1 . What is the actual velocity of the bus ?

A ship is travelling due east at a speed of 15 km//h. Find the speed of a boat heading 30^@ east of north if it appears always due north from the ship.

A cart A of mass 50 kg moving at a speed of 20 km/h hits a lighter cart B of mass 20 kg moving towards it at a speed of 10 km/h. The two carts cling to each other. Find the speed of the combined mass after the collision.

A car A is moving with speed "40 km h"^(-1) along a straight line 30^(@) north of east and another car B is moving with same speed along a straight line 30^(@) south of east. The relative velocity of car A as observed from the car B is

A bus is moving with a speed of 10 m s^(-1) on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooteritst with what speed should the scooterist chase the bus?

A ship is moving at a constant speed of 10 km//hr in the direction of the unit vector hat(i) . Initially. Its position vector, relative to a fixed origin is 10(-hat(i)+hat(j)) where hat(i) & hat(j) are perpendicular vectors of length 1 km. Find its position vector relative to the origin at time t hours later. A second ship is moving with constant speed u km//hr parallele to the vector hat(i)+2hat(j) and is initially at the origin (i) If u=10 sqrt(5) km//h . Find the minimum distance between the ships and the corresponding value of t (ii) Find the value of u for which the shipd are on a collision course and determine the value of t at which the collision would occur if no avoiding action were taken.