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The speed of a boat in still water is V. A river flows with a speed of v,. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and 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 "vo" 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. Equation 1 (downstream): Equation 2 (upstream): Solve for: = vb 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. miles/hour miles/hour vb Downstream positive Vr Upstream negative vr = 14 miles/hour =-7 miles/hour

The speed of a boat in still water is V. A river flows with a speed of v,. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and 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 "vo" 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. Equation 1 (downstream): Equation 2 (upstream): Solve for: = vb 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. miles/hour miles/hour vb Downstream positive Vr Upstream negative vr = 14 miles/hour =-7 miles/hour

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
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 19P
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r The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and 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. Equation 1 (downstream): Equation 2 (upstream): Solve for: V₁² vb 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 (0) by pressing the right-facing arrow next to the division symbol. miles/hour ✔miles/hour vb Downstream positive Vr Upstream negative Vr = 14 miles/hour =-7 miles/hour
Transcribed Image Text:r The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and 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. Equation 1 (downstream): Equation 2 (upstream): Solve for: V₁² vb 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 (0) by pressing the right-facing arrow next to the division symbol. miles/hour ✔miles/hour vb Downstream positive Vr Upstream negative Vr = 14 miles/hour =-7 miles/hour
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