AutoSave OFF A A CG ... w- Assignment 3 - Saved to my Mac Q Home Insert Draw Design Layout References Mailings Review View Tell me Comments Editing Share Calibri (Bo... 14 AA Aav Ap AL AaBbCcDdEe AaBbCcDdEe AaBbCcD AaBbCcDdEE AaBb( Paste BIU 1vab X2 Av LV Av Normal No Spacing Heading 1 Heading 2 Title Styles Dictate Sensitivity Editor Pane Hiking Project Project Objective: Better understand slopes and rates of change Scenario: Lawrence's new favourite hobby is hiking in the Rocky Mountains. He is planning on going for a day hike on Saturday with his hiking partner Sakshi, but needs help picking a trail. He'd like something difficult, but not too difficult. Since he has plans Saturday night, he wants a hike that'll take them about 3 hours to get to the top, leaving lots of time to eat lunch, take pictures, and get back to the car before the afternoon is over. Lawrence has been using the Parks Canada website to find hiking trails: https:/www.pc.gc.ca/en/pn-np/ab/banff/activ/randonee-hiking/banff The page lists trails near Banff, but you can see more trails by using the sidebar to click on Castle Junction trails, Lake Louise trails, or Icefields Parkway trails. For each hike there's a description of the trail, the length, the elevation gain, the hiking time, and the trailhead. Complete all parts of this assignment in a single word document or pdf. For any calculations you carry out, show your work. If you do any work for this assignment by hand, take pictures and post it in the word document or use a scanner/phone to digitize the work. If you have any questions, please ask your instructor. They are here to help! Part 1: Last hike (15 marks total) Two weeks ago, Lawrence and Sakshi hiked to the top of a mountain. It was really challenging, so he's hoping to do something easier on Saturday that won't take as long. Lawrence used his phone to track his distance and elevation throughout the day. Here's what he recorded: Time Distance Elevation (m) Time Distance Elevation (m) traveled (km) traveled (km) 10:00 AM 1600 2:00 PM 12 3100 10:30 AM 1.5 1787.5 2:30 PM 12 3100 11:00 AM 3 1975 3:00 PM 14 2850 11:30 AM 4.5 2162.5 3:30 PM 16 2600 12:00 PM 6 2350 4:00 PM 18 2350 12:30 PM 7.5 2537.5 4:30 PM 20 2100 1:00 PM 9 2725 5:00 PM 22 1850 1:30 PM 10.5 2912.5 5:30 PM 24 1600 Lawrence wants to analyse the data from the hike to help him and Sakshi pick a hike for Saturday. ) Is this discrete or continuous data? (1 mark) b) Draw a graph of the distance traveled versus the time. (3 marks) C) Lawrence and Sakshi's day can be divided into 3 parts: climbing the mountain, enjoying the top of the mountain, and descending the mountain. What was their speed (rate of change) during all 3 parts of the hike? Answer in km/h. (3 marks) d) What was the average speed for the whole day? (2 marks) Page 1 of 3 1246 words English (Canada Focus E 113%A toSave .0 Q B Assignment 3 ~ A Home Insert Draw Design Layout References Mailings Review View Q Tell me DComments ed g Calibri(B___ V14 V A A , z'l 1T AaBchDdEe AaBchDdEe AaBchDc AaBchDdEt AaBbi > 4% @J B I U v ale x x (l/a v ,v Normal NoSpaclng Headingi Headingz Title Styles Dictate ' Pane e) Calculate the horizontal distance covered from the start of the trail to the top ofthe mountain. (This is not the same as the distance traveled.) (2 marks) r) Calculate the grade afthe trail. (2 marks) g) Calculate the angle ofelevation furthe trail. (2 marks) Part2 Suggested mes (7 marks total) on the Parks Canada website there are times listed for each hike, hut Lawrence is worried they mig t not be accurate for him and Sakshi. a) Pick 5 trails. They should be a mix of easy, medium, and hard trails. For each, calculate a hiker's average speed, based on the time suggested by the website. When applicable, make sure to use the total distance, not the one-way distance (since Lawrence wants to start at his car and end at his car). When the time is an interval, go with the mid value. For example, if it says 5 to 6 hours, use 5.5 hours (5 marks] Compare the speeds you calculated here to Lawrence and Sakshi's average speed, as calculated in Part 1!; Are Lawrence and Sakshi faster, slower, or about the same speed as the website would suggest? [2 marks) Part 3: More length is more height? (9 marks total) Lawrence printed off a list of trails so he and Sakshi can pick a trail for Saturday. However, he only printed off the trail names, the distance, and the estimated time. Saksh' asked Lawrence, "How can we possibly know the difficulty of the hike if we don't know the elevation?" Lawrence replied, "Almost always, the longer the trail, the more elevation." Sakshi isn't sure that's true. a) Pick at least 12 trails. They should be a mix of easy, medium, and hard trails. Create a table showing the hike name, the distance, and the elevation gain. Vou can use either the one-way distance or the total distance, but be consistent. (2 marks) l:l) Create a scatter plot that shows the elevation gain of the hike on the V axis and the distance on the x axis. (5 marks) c) Describe the trend in the graph, ifthere is one. Is Lawrence correct? (2 marks) Part 4' Candidate hikes (7 marks) Sakshi and Lawrence decide to pick 3 trails that, based on the times on the Parks Canada website, they think will take them approximately 6 hours in total. From there, they'll calculate how long it will take them to get to the top of each. a) From the list of trails choose 3 that you think are good candidates for Lawrence and Sakshi Pick trails based on the times given on the Parks Canada website and your knowledge of if they re faster or slower than the Parks Canada estimates. (You don't need to do any calculations to pick these candidate trails] (1 mark) b) For each trail you picked, calculate the grade of the trail and the angle of elevation. (6 marks) Part 5 Chaos g a h e (11 marks total) Sakshi notes that the grades on the 3 candidate trails are different than the grade of the trail from the hike 2 weeks ago. She points out that they're slower when the trail is steeper. To better estimate how long these hikes would take, Lawrence remembers that he can walk about 5 km/h on flat ground. Page 2 of 3 1246 words LI? English (Canada) El Focus ' . + 113% AutoSave OFF A A CG ... w- Assignment 3 - Saved to my Mac Q Home Insert Draw Design Layout References Mailings Review View Tell me Comments Editing Share Calibri (Bo... 14 AA Aav AL AaBbCcDdEe AaBbCcDdEe Aa BbCcD AaBbCcDdEE AaBb( Paste BIU 1vab X2 Av LV Av Normal No Spacing Heading 1 Heading 2 Title Styles Dictate Sensitivity Editor Pane a) Complete the following table. In your table, include "hike from 2 weeks ago" and the 3 trails you picked. Arrange the table from least steep to most steep. For the hike from 2 weeks ago, use Lawrence and Sakshi's speed for climbing the mountain (Part 1B) rather than the average speed for the whole day. While we can't say for sure their hiking speed on the 3 trails you picked estimate them based on if they're more steep or less steep than Sakshi and Lawrence's previous hike, and how they compare to each other. (4 marks) Trail Grade Angle of elevation | Speed Flat ground 0% 5 km/h b) Based on the speeds you estimated and the one-way distance, for each trail, calculate how long it would take Lawrence and Sakshi to reach the top. You can use the formula: time = speed x distance (3 marks) c) Are any of the trails a good choice for Lawrence and Sakshi, if Lawrence wants a hike that will take 3 hours to get to the top? If none of them are good choices, is there another trail on the website that might be a good fit? (You don't have to do any calculations to justify this choice) (1 mark) d) It's rarely possible to calculate the time it'll take to complete a hiking trail as accurately as you've done here. In the real world, what might cause Sakshi and Lawrence to be faster or slower? (3 marks) Page 3 of 3 1246 words English (Canada Focus E 113%