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4. At 12:00 noon, an arctic explorer starts heading back to his base camp located 5.15 km due north, when a snowstorm suddenly rolls in. Due to poor visibility, he ends up walking 6.22 km at 15.0° cast of north until the storm breaks. (a) camp? After the storm breaks, how far and in what direction must he walk to get back to his (b) If he walks at a constant speed and gets back to his camp at 2:30 PM, at what time (to the nearest minute) did the storm break?

4. At 12:00 noon, an arctic explorer starts heading back to his base camp located 5.15 km due north, when a snowstorm suddenly rolls in. Due to poor visibility, he ends up walking 6.22 km at 15.0° cast of north until the storm breaks. (a) camp? After the storm breaks, how far and in what direction must he walk to get back to his (b) If he walks at a constant speed and gets back to his camp at 2:30 PM, at what time (to the nearest minute) did the storm break?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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4. At 12:00 noon, an arctic explorer starts heading back to his base camp located 5.15 km due north, when a snowstorm suddenly rolls in. Due to poor visibility, he ends up walking 6.22 km at 15.0o east of north until the storm breaks.

a) After the storm breaks, how far and in what direction must he walk to get back to his camp? b) If he walks at a constant speed and gets back to his camp at 2:30 PM, at what time (to the nearest minute) did the storm break?

**Title: Navigational Challenges for Arctic Explorers** **Scenario:** An arctic explorer begins his journey back to his base camp at 12:00 noon. The base camp is situated 5.15 km due north. As the explorer progresses, a snowstorm emerges, obscuring his visibility. Consequently, he deviates from his path and covers a distance of 6.22 km at an angle of 15.0° east of north before the storm clears. **Problem:** **(a)** Determine the distance and direction the explorer must travel after the storm clears to reach his base camp. **(b)** If the explorer maintains a constant speed and returns to his camp by 2:30 PM, calculate the time the storm ended, rounded to the nearest minute. **Analysis:** - **Vector Displacement:** The explorer's path involves calculating his total displacement in the northward and eastward directions due to his deviation. - **Time Calculation:** Considering his constant speed, determine the time duration to estimate when the storm subsided, allowing him to complete his journey by 2:30 PM.
Transcribed Image Text:**Title: Navigational Challenges for Arctic Explorers** **Scenario:** An arctic explorer begins his journey back to his base camp at 12:00 noon. The base camp is situated 5.15 km due north. As the explorer progresses, a snowstorm emerges, obscuring his visibility. Consequently, he deviates from his path and covers a distance of 6.22 km at an angle of 15.0° east of north before the storm clears. **Problem:** **(a)** Determine the distance and direction the explorer must travel after the storm clears to reach his base camp. **(b)** If the explorer maintains a constant speed and returns to his camp by 2:30 PM, calculate the time the storm ended, rounded to the nearest minute. **Analysis:** - **Vector Displacement:** The explorer's path involves calculating his total displacement in the northward and eastward directions due to his deviation. - **Time Calculation:** Considering his constant speed, determine the time duration to estimate when the storm subsided, allowing him to complete his journey by 2:30 PM.
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