Thread: travelling boat problem

1. travelling boat problem

Another boat problem, confuses me. please help me with this.

a boat is traveling relative to the water at a speed of 4.6 m/s due south.
Relative to the boat, a passenger walks toward the back of the boat at a speed of 2.0 m/s.

So with this,

so 1, What is the magnitude and direction of the passenger's velocity relative to the water?
in m/s also is this north or south?

and 2, How long does it take for the passenger to walk a distance of 27 m on the boat?
in seconds

and 3, How long does it take for the passenger to cover a distance of 27 m on the water?
in seconds.

2. Hello, rcmango!

A boat is traveling relative to the water at a speed of 4.6 m/s due south.
Relative to the boat, a passenger walks toward the back of the boat at a speed of 2.0 m/s.
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1) What is the magnitude and direction of the passenger's velocity relative to the water?
Also is this north or south?
The boat is moving 4.6 m/s due south.
The man is moving 2.0 m/s due north.

His speed relative to the water is: .$\displaystyle 4.6 - 2.0 \:=\:2.6$ m/s due south.

2) How long does it take for the passenger to walk a distance of 27 m on the boat?
At 2 m/s, it takes him $\displaystyle \frac{27}{2} \:=\:13.5$ seconds.

3) How long does it take for the passenger to cover a distance of 27 m on the water?
Relative to the water, his speed is 2.6 m/s.

It will take him $\displaystyle \frac{27}{2.6} \,\approx\,10.4$ seconds.

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