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The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vo and v₁.

The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vo and v₁.

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 34P: A surveyor measures the distance across a river that flows straight north by the following method....
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Write an algebraic expression; do not use numerical values except for the angles. You can enter subscripts by selecting the MathType popup button (red radical) in the answer box. To enter subscripts, press the first right-facing arrow in menu of the popup. For degrees, enter the value and add the degree symbol symbol (o) by pressing the right-facing arrow next to the division symbol. Equation 1 (downstream): Equation 2 (upstream): Solve for: V₁= Vb = ✔miles/hour ✔miles/hour = 19 miles/hour = -9.5 miles/hour
Transcribed Image Text:Write an algebraic expression; do not use numerical values except for the angles. You can enter subscripts by selecting the MathType popup button (red radical) in the answer box. To enter subscripts, press the first right-facing arrow in menu of the popup. For degrees, enter the value and add the degree symbol symbol (o) by pressing the right-facing arrow next to the division symbol. Equation 1 (downstream): Equation 2 (upstream): Solve for: V₁= Vb = ✔miles/hour ✔miles/hour = 19 miles/hour = -9.5 miles/hour
Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
Transcribed Image Text:Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
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