Relative speed question?

Hi

I have a question about relative speed concept.

A river is 400.0 meters wide and flows from west to east at a rate of 35.0 m/min. Your boat moves at 100.0 m/min max speed relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C, 75.0 m downstream from B.

To reach point C,

a. At what bearing must you aim your boat ?

b. How long will it take to cross the river ?

c. What distance do you travel ?

d. What is the speed of your boat as measured by an observer

standing on the river bank ?

e. Draw a vector diagram showing the speed and direction

of the river current relative to the earth, the boat relative to the water

and earth.

Relative speed question?mortgage rate

(a)

Tan 螛 = Opp./ Adj.

Tan 螛 = (75 - 35)/ 400

Tan 螛 = 40 / 400

螛 = Tan ^ -1 (0?1)

螛 = 5?710 593 138

螛 鈮?5掳 42` 38?14%26quot;

(b)

For (a) above:

Distance to port C:

Distance = 鈭歔(75 - 35)2 + (400)2]

Distance = 鈭歔161,600]

Distance = 401?995 0248... m

Time = Distance / Speed

Time = 401?995 0248... m / 100

Time = 4?01995 0248... min.

Time 鈮?4?02 min.

(c)

From (b) above,

Distance = 401?995 0248... m

Distance 鈮?402 m

(d)

If the question means the speed of the boat to move down stream as seen by the observer then:

Speed = Distance / Time.

Speed = (75) / 4?01995 0248...

Speed = 18?656 947 32...

Speed 鈮?18?66 m/min.

(e)

Vector diagrams with this software - hay buddy you are realy pushing your luck.

Relative speed question?

loan

a. north 75 degrees west

b. 6 mins 28 seconds

c. 1124m

d. 173 metres per minute

e. I can%26#039;t draw that for you here, sorry.. copy it off some classmate ;)