An aeroplane pilot wishes to fly due west A wind of `100 km h^-1` is blowing towards south.
(a) If the speed of the plane (its speed in still air) is `300 km h^-1` in which direction should the pilot head ?
(b) What is the speed of the plane with respect tom ground ? Illustrate with a vector diagram.

A plane is travlling eastward at a speed of 400 km h^)-1) . Wind is blowing southward at a speed of 80 km h^(-1) What is the direction of the place relative to the ground ?

A jet airplance travelling at the speed of 500 km ^(-1) ejects its products of combustion at the speed of 1500 km h^(-1) relative to the jet plane. What is the speed of the later with respect to observer on the ground ?

A plane is travelling eastward at a speed of 500 kmh^(-1) . But a 90 km h^(-1) wind is blowing southward. What is the direction and speed of the plane relative to the ground ?

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.

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 .

After flying for 18 min in a wind blowing 42 km/h at an angle of 20^(@) south of east, an airplane pilot is over a town that is 55 km due north of the starting point. What is the speed of the airplane relative to the air?

An aeroplane has to go from a point A to another point B, 500 km away due 30^@ east of north. Wind is blowing due north at a speed of 20 m//s. The steering-speed of the plane is 150 m//s. (a) Find the direction in which the pilot should head the plane to reach the point B. (b) Find the time taken by the plane to go fram A to B.

An aeroplane has to go from a point O to another point A, at distance d due 37^(@) East of North. A wind is blowing due North at a speed of 10 ms^(-1) . The air speed of the plane is v. (i) Find the direction in which the pilot should head the plane to reach the point A. (ii) Find the time taken by the plane to go from O to A.

An aeroplane has to go from a point O to another point A , at distance d due 37^(@) east of north. A wind is blowing due north at a speed of 20 m//s . The air speed of the plane is v . (a) Find the direction in whihc the pilot should head the plane to reach the point A . (b) Find the time taken by the plane to go from O to A .

A man swims across a river with speed of 5 km h^(-1) ( in still water). While a boat goes upstream with speed 12 km h^(-1) ( in still water). How fast and in which direction does, the man appear to go to the boatman ? Given that the speed of flowing water is 2 km h^(-1)