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north river boats
A river flows...?
A river flows due east at 1.80 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.0 m/s due north relative to the water.
(a) What is the velocity of the boat relative to shore?
m/s
(b) If the river is 310 m wide, how far downstream has the boat moved by the time it reaches the north shore?
the resultant speed is the hypotenue of the triangle.
a^2 + b^2 = c^2
1.8^2 + 10^2 = c^2
c^2 = 103.24
c = 10.16m/s
x = vt
the distance and velocity have to be in the same direction. The boat travels north with 10m/s
310 = 10t
t = 31s
the time it takes the boat to reach the shore vertically is also the time it takes to boat to reach the shore horizonally.
x = vt
x = (1.8)(31)
x = 55.8m
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