Physics: Uniform Motion A motorboat maintained a constant...

Name: Problem 29, Chapter 1: Algebra and Trigonometry
Uploaded: 2021-06-11T12:21:16-08:00
Duration: 1 min 15 s
Channel: Yujie Wang
Description: Physics: Uniform Motion A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 1.5 hours. Use this information to find the speed of the current.

Physics: Uniform Motion A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 1.5 hours. Use this information to find the speed of the current.

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Key Concepts

Uniform Motion

Uniform motion refers to motion at a constant speed in a straight line. In problems involving uniform motion, the core relationship is that distance equals speed multiplied by time, which allows one to calculate any one of these quantities if the other two are known.

Relative Motion in Fluids

When an object moves in a medium like water or air, its effective speed relative to the ground (or riverbank) is affected by the motion of the medium. For a boat, this means the effective speed upstream is the boat's speed relative to the water minus the current speed, while downstream it is the boat's speed relative to the water plus the current speed.

Time-Distance Relationships in Two Directions

For problems where the object travels in opposite directions with different effective speeds (such as upstream and downstream), the total time is calculated as the sum of the individual times for each leg of the journey. Each leg's time is determined by dividing the distance by the effective speed, allowing one to set up equations relating the trip parameters.

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