Aboat, the speed of which is 10 m. s-1 relative to the water, sails downstream at an angle of 60 degrees, with the flow of the river current. the current flows at 4m. s-1. what is the resultant velocity of the boat?

resultant velocity of boat will be 11.2249 m/sec          

Explanation:

We have given speed of boat = 10 m /sec

Velocity pf current flow = 4 m /sec

Angle at which boat is moving = 60°

We have to find the resultant velocity

We know that resultant velocity is given by

So resultant velocity of boat will be 11.2249 m/sec

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.