Answer to Question #80023 in Mechanics | Relativity for Crischal

Question

Write about the equations of crossing a river in detail.

Answer 1

In general, the equation of crossing the river is only in one formula: s=v×t.
At the same time, the river has a current at a certain speed, and the whole question is whether this river intersects in spite of the river or the current. If the river crosses against the river or along the river, a triangle of speeds is drawn: the speed of the means is perpendicularly indicated if there was no current of the river, that is, the speed of the object. A perpendicular to the velocity of an object is the speed of the river, and then these vectors are added according to the rules of geometry, that is, in vector composition, through trigonometric functions. In this case, often, tasks are given to the angle of the demolition of an object crossing the river. In this case we use the sine theorem. But the path is calculated according to the same formula.