A river flows due south with a speed of 3.0 m/s . You steer a motorboat across t

Q: A river flows due south with a speed of 3.0 m/s . You steer a motorboat across t

Here, a) magnitude of velocity relative to earth = (3^2 + 4.4^2)^1/2 = 5.325 m/s b) direction relative to earth = tan^-1 (3/4.4) =34.29 degrees south of east c) time taken = 780 / 4.4 = 177.272 s d) distance travelled L= 3 * 177.272 = 531.816 m

ID: 1588492 • Letter: A

Question

A river flows due south with a speed of 3.0 m/s . You steer a motorboat across the river; your velocity relative to the water is 4.4 m/s due east. The river is 780 m wide.
Part A
What is the magnitude of your velocity relative to the earth?
Express your answer with the appropriate units.

v =

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Part B
What is the direction of your velocity relative to the earth?

=
south of east

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Part C
How much time is required to cross the river?
Express your answer with the appropriate units.

t =

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Part D
How far south of your starting point will you reach the opposite bank?
Express your answer with the appropriate units.

L =

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Explanation / Answer

Here,

magnitude of velocity relative to earth = (3^2 + 4.4^2)^1/2 = 5.325 m/s

b)

direction relative to earth = tan^-1 (3/4.4) =34.29 degrees south of east

c)

time taken = 780 / 4.4 = 177.272 s
d)

distance travelled L= 3 * 177.272 = 531.816 m

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A river flows due south with a speed of 3.0 m/s . You steer a motorboat across t

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