An aeroplane leaves an airport and flies due north at a speed of 1000 kmph. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 kmph. How far apart will the two planes be after 1 `(1)/(2)` hour ?

Two trains leave a railway station at the same time. The first train travels due west and the second train due north . The first train travels at a speed of 20 km/ hr and the second train travels at 30 km/ hr. After 2 hours, what is the distance between them ?

An aeroplane having a wingspan of 35m flies due north at speed 90m//s . The potential difference between the end point over a given locality if vertical components of earth’s magnetic field is 4 xx 10^(-4) Wb//m^(2) is :

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 air-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 from A to B.

Places A and B are 100 km apart on a highway. One car start from A and another from B at the same time at different speeds. If the car travel in the same direction, they meet in 5 hours, if they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

Two vehicles leave the same place P at the same time moving along two different roads. One vehicle moves at an average speed of 60km/hr and the other vehicle moves at an average speed of 80km/hr. After half an hour the vehicle reach the destinations A and B. If AB subtends 60^(@) at the initial point. P, then find AB.

An explosion breaks a rock into three parts in a horizontal plane two of them go off at right angles to each other the first part of mass 1 kg moves with a speed of 12 m/s the second part of mass 2kg moves with a speed of 8 m/s and the third aprt flies off with a speed of 4 m/s calculate the mass of third part

A particle of mass m = 1.6 X 10^(-27) kg and charge q = 1.6 X 10^(-19) C moves at a speed of 1.0 X10^7 ms^(-7) . It enters a region of uniform magnetic field at a point E, as shown in The field has a strength of 1.0 T. (a) The magnetic field is directed into the plane of the paper. The particle leaves the region of the filed at the point F. Find the distance EF and the angle theta. (b) If the field is coming out of the paper, find the time spent by the particle in the regio the magnetic feld after entering it at E .