A boat can be rowed at 7.5 km/h in still water. (a) How much time (in min) is required to row 2.5 km downstream in a river moving 2.9 km/h relative to the shore? (Assume the river is flowing toward the east.) min (b) How much time (in min) is required for the return trip? min (c) In what direction must the boat be aimed to row north straight across the river? (Enter your angle in degrees counterclockwise from the east axis.) ° counterclockwise from the east axis

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### Boat Rowing in a River: Problem Set

A boat can be rowed at **7.5 km/h** in still water.

#### (a) Downstream Rowing Time
**Question:** How much time (in minutes) is required to row **2.5 km** downstream in a river moving **2.9 km/h** relative to the shore? (Assume the river is flowing toward the east.)
- **Answer:** [ ] min

#### (b) Return Trip Time
**Question:** How much time (in minutes) is required for the return trip?
- **Answer:** [ ] min

#### (c) Angle for Northward Rowing
**Question:** In what direction must the boat be aimed to row north straight across the river? (Enter your angle in degrees counterclockwise from the east axis.)
- **Answer:** [ ] ° counterclockwise from the east axis

#### (d) Speed and Time Across the River
**Given:** The river is **0.6 km** wide.
1. **Question:** What is the speed of the boat with respect to Earth (in km/h)? (Assume the boat is aimed in the direction such that it will be rowed straight across the river.)
   - **Answer:** [ ] km/h
2. **Question:** How much time (in minutes) is required to get to the opposite shore?
   - **Answer:** [ ] min

#### (e) Straight Across Rowing
1. **Question:** Suppose, instead, the boat is aimed straight across the river. How much time (in minutes) is required to get across?
   - **Answer:** [ ] min
2. **Question:** How far downstream (in km) is the boat when it reaches the opposite shore?
   - **Answer:** [ ] km
Transcribed Image Text:### Boat Rowing in a River: Problem Set A boat can be rowed at **7.5 km/h** in still water. #### (a) Downstream Rowing Time **Question:** How much time (in minutes) is required to row **2.5 km** downstream in a river moving **2.9 km/h** relative to the shore? (Assume the river is flowing toward the east.) - **Answer:** [ ] min #### (b) Return Trip Time **Question:** How much time (in minutes) is required for the return trip? - **Answer:** [ ] min #### (c) Angle for Northward Rowing **Question:** In what direction must the boat be aimed to row north straight across the river? (Enter your angle in degrees counterclockwise from the east axis.) - **Answer:** [ ] ° counterclockwise from the east axis #### (d) Speed and Time Across the River **Given:** The river is **0.6 km** wide. 1. **Question:** What is the speed of the boat with respect to Earth (in km/h)? (Assume the boat is aimed in the direction such that it will be rowed straight across the river.) - **Answer:** [ ] km/h 2. **Question:** How much time (in minutes) is required to get to the opposite shore? - **Answer:** [ ] min #### (e) Straight Across Rowing 1. **Question:** Suppose, instead, the boat is aimed straight across the river. How much time (in minutes) is required to get across? - **Answer:** [ ] min 2. **Question:** How far downstream (in km) is the boat when it reaches the opposite shore? - **Answer:** [ ] km
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