Width of a river is 60m .A swimmer wants to cross the river such that he reaches from A to B directly. Point B is 45m ahead of line AC(perpendicular to river).Assume speed of river and speed of swimmer as equal. Swimmer must try to swim at angle `theta` with line AC. Value of `theta` is

A swimmer wands to cross a river and reach point B directly from A . The speed of the wimmer in still river and that of river flow are same. The dotted line AN is normal to flow direction of river. For swimmer to reach point B , the angle his velocity relative to river will make with line AN is given by theta . then the value of theta is :

man wants to swim across a river of which 200 m along the shortest path . If the speed of river stream is 3 km h^(-1) and speed of swimmer in still water is 5 km h^(-1) , then the time of crossing the river is

A river of width 80m is flowing at 6 m/s. A motorboat crosses the river in 10s and reaches a point directly across on the other river bank. The velocity of motorboat in still water is :

A man crosses the river in shortest time and reaches at an angle theta= 60^(@) to the direction of flow of water. If the speed of water is v_w = 4 km//hr , find the speed of the man:

A swimmer wishes to cross a 500 - m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

A swimmer wishes to cross a 500 m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

Two persons P and Q crosses the river starting from point A on one side to exactly opposite point B on the other bank of the river. The person P crosses the river in the shortest path. The person Q crosses the river in shortest time and walks back to point B. Velocity of river is 3 kmph and speed of each boat is 5 kmph w.r.t river. If the two persons reach the point B in the same time, then the speed of walk of Q is

A man can row a boat with 4km/h in still water, if he is crossing a river where the current is 2 km/h. (a) In what direction will his boat be holded, if he wants to reach a point on the other bank, directly opposite to starting point? (b) If width of the river 4km, how long will the man take to cross the river, with the condition in part (a)? (c) In what direction shou ld he heat the boat if he wants to cross the river in shorest time and what is this minimum time? (d) How long will it take him to row 2 km up the stream and then back to his starting point?

The current velocity of river grows in proportion to the distance from its bank and reaches the maximum value v_0 in the middle. Near the banks the velocity is zero. A boat is moving along the river in such a manner that the boatman rows his boat always perpendicular to the current. The speed of the boat in still water is u. Find the distance through which the boat crossing the river will be carried away by the current, if the width of the river is c. Also determine the trajectory of the boat.

A swimmer wants to cross a 200 m wide river which is flowing at a speed of 2 m/s. the velocity of the swimmer with respect to the river is 1 m/s. how far from the point directly opposite to the starting point does the swimmer reach the opposite bank ?