I missed much of my physics lecture on Friday, so I'm not entirely sure what I'm doing, and we have a homework quiz on this Monday. =/ If this seems really trivial.. it probably is, but I wasn't there to learn it (so don't judge me >_>). The homework is pretty much all reminiscent of this problem, so if I understand this, I should be clear. Check mah answerz pwease?
A river flows due east at 1.50 m/s. A boat crosses the river from the south bank to the north bank by maintaining a constant velocity of 10.0 m/s due north relative to the water.
a. What is the velocity of the boat as viewed by an observer on the south bank?
b. If the river is 325 m wide, how much time will it take for the boat to cross the river?
c. How far downstream is the boat when it reaches the north bank?
d. What is the boat's displacement?
e. What is the magnitude of the boat's displacement?
f. What is the boat's average speed?
My answers, work omitted.
a. 10.1 m/s NE
b. 32.2 seconds
c. 12.0 m
d. 325.22 m NE
e. 325.22 m at 87.8° North of East
f. 10.1 m/s