Question

the velocity of boat relative to water is 4m/sec the velocity of water relative to ground is 8m/sec in which direction the boat man aims the boat to cross the river in minimum drift method ​

Answer 1

Explanation:

I don't wanna waste what's left

The storms we chase are leading us

And love is all we'll ever trust, yeah

No, I don't wanna waste what's left

And on and on we'll go

Through the wastelands, through the highways

'Til my shadow turns to sunrays

And on and on we'll go

Through the wastelands, through the highways

And on and on we'll go

Oh, on we'll go

Finding life along the way

Melodies we haven't played

No, I don't want no rest

Echoing around these walls

Fighting to create a song

I don't wanna miss a beat

And on and on we'll go

Through the wastelands, through the highways

'Til my shadow turns to sunrays

And on and on we'll go

Through the wastelands, through the highways

And on and on we'll go

And we'll grow in number

Fueled by thunder, see the horizon

Turn us to thousands

And we'll grow in number

Fueled by thunder, see the horizon

Turn us to thousands

And on and on we'll go

Through the wastelands, through the highways

'Til my shadow turns to sunrays

And on and on we'll go

Through the wastelands, through the highways

And on and on we'll go

Answer 2

Answer:

Concept:

If we have the velocity of the boat and the velocity of the river, then we can find the angle for which drift is minimum for that particular velocity of the boat.

Explanation:

Given:

The velocity of the boat relative to water is 4m/sec

The velocity of water relative to the  ground is 8m/sec

Find:

In which direction the boatman aims the boat to cross the river in the minimum drift method ​

Solution:

Here, $v_{b / r}$ is the Velocity of the boat relative to the river

         $v_{r}$ is the Velocity of the river

         $v_{b}$ is the Velocity of the boat

                         $\begin{aligned}&\overrightarrow{v_{b / r}}=\overrightarrow{v_{b}}-\overrightarrow{v_{r}} \\&\vec{v}_{b}=\vec{v}_{b / r}+\vec{v}_{r} \\&\left(v_{b}\right)_{x}=\left(v_{b / r}\right)_{x}+\left(v_{r}\right)_{x} \\&\left(v_{b}\right)_{x}=v_{r}-v_{b / r} \sin \theta . \\&x=\left(v_{r}-v_{b / r} \sin \theta\right) t\end{aligned}$--------(1)

                        $\left(v_{b}\right)_{y}=\left(v_{b / r}\right)_{y}+\left(v_{r}\right)_{y} \\\\ \left(v_{b}\right) y=v_{b / r} \cos \theta \Rightarrow d=v_{b / r} \cos \theta t \\\\\Rightarrow t=\frac{d}{v_{b / r} \cos \theta}$---------(2)

By using the Equations (1) and (2)

                    $\begin{aligned}&\Rightarrow x=\frac{d}{v_{b / r}}\left[v_{r} \sec \theta-v_{b / r} \tan \theta\right]\\&\frac{d x}{d t}=0 \Rightarrow \frac{d}{v_{b / r}}\left[v_{r} \sec \theta \tan \theta-v_{b / r} \sec ^{2} \theta\right]=0 .\\&\Rightarrow V_{r} \sec \theta \tan \theta=v_{b / r} \sec ^{2} \theta \sec \theta\\&\Rightarrow v_{r} \frac{\sin \theta}{\cos \theta}=v_{b / r} 1 / \cos \theta \Rightarrow \sin \theta=\frac{v_{b / r}}{V_{r_{}}}\end{aligned}$

                          $sin\theta$ = $\frac{4}{8}$

                          $sin\theta$ = $\frac{1}{2}$

                          $sin\frac{1}{2}$ = 30°

The angle for which drift is minimum for that particular velocity of the boat is 30°.

#SPJ2