Physics 163

Unit 3: Motion in Two Dimensions

Problem Set B

Problem 10:

A boat moves at 4.5 m/s relative to the water regardless of which direction it travels through the water. If the water in a river is flowing at 1.5 m/s, how long (in seconds) does it take the boat to make a trip across the river if a 284 m displacement downstream is experienced.

• Read the problem carefully and diagram the physical situation
• Identify known and unknown information in an organized manner
• Take the time to plot out a strategy prior to beginning the solution
• Identify an appropriate formula to use
• Perform step-by-step algebraic manipulations

A discussion of the principlesof relative motion and of the basic strategy for solving such problems is provided on the Set B Overview Page.

Detailed information about and discussion of the strategies for solving riverboat problems and other relative velocity problems is provided online at The Physics Classroom.

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