A river is flowing due east with a speed 3m/s. Swimmer can swim in still water at a speed of 4 m//s (shown in the figure)
If swimmer starts swimming due north, what wil be his resultant velocity (magnitude and direction).

A river is flowing due east with a speed 3m/s. Swimmer can swim in still water at a speed of 4 m//s (shown in the figure) If he wants to start from pont A on south bank and reach opposite point B on north bank. What will be his resultant speed?

A river is flowing due east with a speed 3m/s. Swimmer can swim in still water at a speed of 4 m//s If he wants to start from pont A on south bank and reach opposite point B on north bank. Which direction should he swim.

Rain is falling vertically with a speed of 30 ms^-1 . A woman rides a bicycle with a speed of 10 m s^-1 in the north to south direction. What is the direction in which she should hold her umbrella ?

A police car running on a highway with a speed of 30 km//h fires on the vehicle of thiefs running in the same direction at a speed of 192 km//h . If the velocity of the bullet is 150 m//s then with what velocity the bullet will hit the thiefs ?

A cyclist is riding with a speed of 27 km//h . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m//s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

A man wants to reach from A to the opposite corner of square C ( shown in the figure) . The sides of the square are 100m.A central square of 50 mxx50m is filled with sand. Outside this square, he can walk at a speed 1 m/s. In the central square, he can walk only at a speed of v m/s (v>1). What is smallest value of v for which he can reach faster via a straight path through the sand than any path in the square outside the sand.

A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction . It falls down in water after 2 sec. Find height of the bridge.

A train, standing in a station-yard, blows a whistle of frequency 400 Hz in still air. The wind starts blowing in the direction from the yard to the station with a speed of 10 m s^-1 . What are the frequency, wavelength, and speed of sound for an observer standing on the station’s platform? Is the situation exactly identical to the case when the air is still and the observer runstowards the yard at a speed of 10 m s^-1 ? The speed of sound in still air can be taken as 340 m s ^-1 .

A player throws a ball upwards with an initial speed of 29.4 m s^-1 :- What is the direction of acceleration during the upward motion of the ball ?

Figure shows a conducting rod PQ in contact with metal rails RP and SQ, which are 0.25 m apart in a uniform magnetic field of flux density 0.4T acting perpendicular to the plane of the paper. Ends R and S are connected through a 5 Omega resistance. What is the emf when the rod moves to the right with a velocity of 5ms^(-1) ? What is the magnitude and direction of the current through the 5 Omega resistance? If the rod PQ moves to the left with the same speed, what will be the new current and its direction?