A plane is to fly due north. The speed of the plane relative to the air is 200 `km//h`, and the wind is blowing from west to east at 90 `km//h`.

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 245 m/s relative to the air. A weather report indicates that a 38.0 m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot head the plane relative to the air?

An aeroplane is travelling northward with a velocity of 300 km/hr with respect to the Earth. Wind is blowing from east to west at a speed of 100 km/hr. What is the velocity of the aeroplane with respect to the wind?

A plane is flying at a speed of 720kmh^(-1) with respect to air. The wind is blowing at a speed of 54kmh^(-1) from west to east. With respect to ground the plane is found to be movig northwards. In which direction is the plane heading?

Bird is flying in north-east direction with v= 4sqrt2 m/s with respect to the wind and the wind is blowing from north to south with speed 1 m/s. Find the magnitude of the displacement of bird in 3 sec.

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 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 ?

An aeroplane has to go from a point P to another point Q, 1000 km away due north. Wind is blowing due east at a speed of 200 km//h. The air speed of plane is 500 km//h. (a) Find the direction in which the pilot should head the plane to reach the point Q. (b) Find the time taken by the plane to go from P to Q.