- #1

Inertialforce

- 68

- 2

## Homework Statement

A boat which can travel at 5.6 m/s in still water heads due east across a river (185m wide) from a dock at a point X. The boat's resultant path is 32(degrees) south of east.

a)What is the speed of the current?

b)How long will it take the boat to reach the far shore if the river is 185m wide?

## Homework Equations

Vwg = Vwb + Vbg

## The Attempt at a Solution

Here is what I did for a) :

First I wrote down what I was given:

dx = 185m

vx= Vbw = 5.6m/s

(theta) = 32(degrees)

then I went:

Tan(32) = Vwg / Vbw

Tan(32) = Vwg / 5.6

(Tan(32))(5.6) = Vwg

3.499268371 = Vwg

3.5m/s = Vwg

then for b) I went:

Vx = dx/t

t = dx/vx

t = 185/5.6

t = 33.03571429

t = 33s

could someone please check these to see if they are correct, I just want to see if I am doing it correctly before moving on to other questions.

Furthermore, could some please draw a vector diagram for "part A" so that I could understand this question better because someone told me that a vector diagram would help me to understand this question a lot more. However, in the question sheet there is already a birds eye view of what is occurring in this question already so I was just wondering what a alternative vector diagram would look like.