A man travelling towards east at 8km/h finds that the wind seems to blow directly from the north On doubling the speed, he finds that it appears to come from the north-east. Find the velocity of the wind.

The wind is blowing from south at 10 ms^(-1) , but to a cyclist it appears blowing from the east at 10 ms^(-1) . The velocity of cyclist is

If particles A and B are moving with velocities overset(rarr)V_(A) and overset(rarr)V_(B) , respectively. The relative velocity of A with respect to B is defined as overset(rarr)V_(AB)=overset(rarr)V_(AB)=overset(rarr)V_(A)-overset(rarr)V_(B) . The driver of a car travelling Southward at 30km h^(-1) observes that wind appears to be coming from the West. The driver of another car travelling Southward at 50 km h^(-1) observes that wind appears to be coming from the South-West.

An aircraft flies at 400 km//h in still air. A wind of 200sqrt2 km//h is blowing from the south towards north. The pilot wishes to travel from A to a point B north east of A. Find the direction he must steer and time of his journey if AB=1000 km.

From a light-house an observer two ships A and B. Ship A proceeding towards north at a speed 20sqrt(2) km//h and ship B proceeding towards north-east at a speed of 20 km//h. Find in which direction and at what speed the ship B would appear to move to an observer standing on the deck of the ship A.

To a man walking at the rate of 3 km//h the rain appear to fall vertically downwards. When he increases his speed 6 km//h it appears to meet him at an angle of 45^@ with vertically. Find the speed of rain.

An observer is travelling in west with velocity of 5 km/h and observes that wind is blowing in north with the velocity of 5sqrt(3) km/h. Find out the actual velocity of wind.

A plane moves in windy weather due east while the pilot the plane somewhat south of east. The wind is blowing at 50 km/h directed 30^(@) east of north, while the palne moves at 200 km/h relative to the wind . What is the velocity of the plane relative to the ground and what is the direction in which the pilot points the palne ?

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 man goes 10m due east and then 24 m due north. Find the distance from the starting point.

A man travelled 137 km to east of Mumbai and then 235 km to the west from that point . How far from Mumbai was he finally ?