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Posted by on Saturday, November 3, 2012 at 2:10am.

A ferry is crossing a river.The ferry is headed due north with a speed of 2.5 m/s relative to the water and the river's velocity is 2.0 m/s to the east. What is the magnitude and direction of the ferry's velocity relative to Earth.
( Give the angle from east 0 degrees )

  • Physics - , Saturday, November 3, 2012 at 2:35am

    Ferry velocity with respect to earth =
    Ferry velocity with respect to water + water velocity with respect to earth

    magnitude = sqrt[2.5^2 + 2.0^2]
    = 3.20 m/s

    direction = arctan(2.5/2)
    = 51.3 degrees north of east.

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