If the baat of preceding example travels with same speed relaative to the river and is to be towards right across, in what direction shoul is head?

Shama, during the time of sunset, started walking towards the opposite side of sun and then she turns right and right again. What direction is she facing?

Places A and B are 160 km apart on a highway. One car starts from A and another from B at the same time. If they travel in the same direction, they meet in 8 hours. But, if they travel towards each other, they meet in 2 hours. Find the speed of each car.

The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speed as

A swimmer wishes to cross a 500m wide river flowing at a rate 5km/hr. His speed with respect to water is 3km/hr. (a) If the heads in a direction making an angle theta with the flow, he takes to cross the river. (b) Find the shortest possible time to cross the river.

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.

If a boat can have a speed of 4 km/hr in still water, for what values of speed of river flow, it can be managed to row boat right across the river, without any drift ?

A swimmer can swim in still water with speed v and the river is flowing with speed v//2 . What is the ratio of the time taken to swimming across the river in shortest time to that of swimming across the river over the shortest distance ?