New to 11 Physics: Calculate Ferry Boat Velocity, Time, and Displacement

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To determine the ferry boat's velocity relative to the shore, the average velocities of the water and the boat must be combined as vectors, forming a right triangle. The resultant vector can be calculated using the Pythagorean theorem, which will yield the boat's velocity. The time for the crossing can be found by dividing the river width by the component of the boat's velocity directed across the river. Finally, the displacement of the boat can be calculated using the resultant velocity and the time taken for the crossing. Understanding vector addition is crucial for solving this problem effectively.
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Homework Statement


1) A ferry boat is crossing a river that is 8.5 x 10^2m wide. The average velocity of the water relative to the shore is 3.8 m/s [E] and the average velocity of the boat relative to the water is 4.9 m/s .
a. Determine the velocity of the ferry boat relative to the shore.
b. How long does the crossing take?
c. Determine the displacement of the boat as it crosses from the north shore to the south shore.

I'm preparing for Physics 11 during the summer by having a tutor and I seem to have a lot of difficulty understanding anything... Does anyone mind walking me through this question?

Homework Equations


a=(Vf-Vi)/t
Vf=Vi+at
d=Vit+1/2a^2

The Attempt at a Solution



From what I know, I am only given the velocity of the water relative to the shore (3.8 m/s [E]) and the velocity of the boat relative to the water (4.9 m/s ). Is there a acceleration variable that I missed because I have no idea how to solve this problem with just the velocities.
 
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It is good that you are taking steps to prepare for your next class. This question probably came from a chapter in a physics textbook that discussed vectors. Have you learned about vectors?
 
Oh yes, I did learn about vectors, but I'm struggling to understand that as well...
 
Okay, I just read over my notes... Am I suppose to form a right angle triangle with the velocities and find the "resultant vector"?
 
Yes. Hopefully, your notes cover how to get the angle of the resultant vector. I would suggest drawing a graphical representation of the problem to help you retain your wits.
 
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