You are on the south bank a river. The river at the point you want to cross is 3

ID: 1769528 • Letter: Y

Question

You are on the south bank a river. The river at the point you want to cross is 300 m wide and the water is moving form west to east at 2.0 m/s . you leave the south bank in your boat which heads in a direction 30 degree west of north at a speed of 8 m/s relative to the water. What is the magnitude of the boats velocity and the figure with the coordinate system, we have The velocity with respect to the ground is just B. What is the direction of the boats velocity relative to the ground? tan theta= C. How long does the boat take to cross the river?

Explanation / Answer

Sure, I am able to help here!

1st understand the list of things mentioned in the question
1. Width of river =300m
2. velocity of water =2m/s due east from west
3. You initial velocity =8m/s relative to water at angle 30degree wrt north

So here you have to find the magnitude of velocity of the boat. Obviously this will not be same as your initial speed, bcoz of speed of water.

So to find net magnitude break your initial velocity in 2 components North and West (vertical and horizontal)

now as water is flow towards west add this to the west component of your velocity
This gives the net velocty in west.
To find magnitude take the mod of both the components
To find angle take tan@ = velocity due west/velocity due north
I hope this helps! :)

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You are on the south bank a river. The river at the point you want to cross is 3

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