When a boat crosses the river, the width of the river is 180 m and the velocity of the current is 3 M / s When a boat crosses a river, the width of the river is d = 180m, and the current velocity is V1 = 3m / s. if the speed of the boat in still water is V2 = 5m / s, it is known that sin53 degree is equal to 0.8 and cos53 degree is equal to 0.6. What direction should the bow of the boat cross the river in the shortest time and what is the shortest crossing time

When a boat crosses the river, the width of the river is 180 m and the velocity of the current is 3 M / s When a boat crosses a river, the width of the river is d = 180m, and the current velocity is V1 = 3m / s. if the speed of the boat in still water is V2 = 5m / s, it is known that sin53 degree is equal to 0.8 and cos53 degree is equal to 0.6. What direction should the bow of the boat cross the river in the shortest time and what is the shortest crossing time


The width of the river d = 180m, the velocity V1 = 2.5m/s. (1) if the velocity of the ship in still water is V2 = 5m / at this time, as in the first question, when the bow of the ship points to the opposite bank, that is, when the ship's velocity is perpendicular to the current velocity, the crossing time is the shortest



River width d = 30m, flow velocity V1 = 4m / s, ship velocity V2 = 3m / s in still water
(1) In order to make the boat crossing the river the shortest, how should the boat cross the river? What is the shortest time? What is the passing time
(2) How should the boat cross the river to make the shortest sailing distance? What is the crossing time


The shortest crossing time, the direction of the ship perpendicular to the shore
So the shortest time t = s / v = 30 / 3 = 10s
The distance is s * t = 5m / s * 10 = 50m
Shortest distance
The shortest distance is the shortest time when the water velocity is greater than the ship velocity
So it's the same as above