Boat Vector Physics Problem with River Current - Homework Help

AI Thread Summary
To determine how far downstream a boat will drift while crossing a 1.0 km wide river with a current of 1.0 m/s, the boat's speed of 3.0 m/s in still water must be considered. The boat will travel directly across the river, but the current will push it downstream. Given the boat's speed and the current's speed, the downstream distance can be calculated using the time it takes to cross the river. The time to cross is approximately 333 seconds, leading to a downstream drift of about 333 meters. This analysis connects the first question about the boat's angle upstream to the second question regarding its downstream displacement.
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Homework Statement


I have two questions but I need help with the second.
1. A boat can travel at 3.0ms-2 in still water and wishes to travel directly across a river with a current of 1.0ms-1. What direction upstream does the boat need to be steered.
I got the answer - the boat goes at an 18 \circ and at an direction which I don't know.
2. If the boat in question 4 heads directly across the river which is 1.0km wide how far downstream will it reach the opposite bank?

Homework Equations


Just Vectors.


The Attempt at a Solution


Well I attempted it.
I had a triangle with the 1.0km across another side.
I didn't really get that far.


Thanks
 
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If the boat travels at 3 m/s and the current is 1 m/s that means for every 3 meters the boat travels in the perpendicular direction, the current carries it 1 meter in the parallel direction (relative to the shores).

Can you go from there?
 


wait isn't that for the first question, i need help on the second question please. Maybe I wasn't clear on the question I have metioned it there, the first question is there because the second one belongs to the first.
Thanks.
 
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