Question 1 Below is a graph representing part of the cross-section of Victoria Road. The y-axis represents the vertical height in metres, above the base of the hill. The x-axis represents the horizontal distance from the origin. Victoria Road 1007 80 60 40 20- . 500 1000 1500 2000 2500 3000 a) Write a hybrid function f(x) to represent the graph of Victoria Road. 1-3% 7-9% Cyclist Guide to Gradient of Climbs Slightly uphill but not particularly challenging. A bit like riding into the wind. A manageable gradient that can cause fatigue over long periods. Starting to become uncomfortable for seasoned riders, and very challenging for new riders. A painful gradient, especially if maintained for any length of time Very challenging for riders of all abilities. Maintaining this sort of incline for any length of time is very painful. 10-15% 16%+ b) Use the Cyclist Guide above to describe the entire joumey of a cyclist along Victoria Road. c) What is the total distance the cyclist travels for this climb along Victoria Road? Storyline Have you ever er wenns along! ng lhe road like the ones above? TH These are ancient warning signs for drivers and cyclists. The gradient of the road wil affect the riding conditions for cyclists. In cycling tema, gradient simply refers to the steepness of section of road. A fet road is said to have a gradient of 0%, and a road with a higher gradient (eg 10%) is sleeper than a road with a lower gradient leg.5%). A downhilrad is said to live a negalive gradient Surveyors have graphed cross-sections of roads: Victoria Road, Mountain Vew Drive, Hils de Road, Woodard Avenue and Tall Trees Roed. It is your job to use these cross-sections, your knowledge of unctions, gradents and calcula, in order to answer questions about the roads. Seclin To answer the questions in this task, you will need to be able to calculate the percentage gradient of a road as outlined in the table below. All gradient values on signs are given as positive percentages rounded to We nearest percent Shape of Road Cross Function Gradient Calculation (percentage) LH gradient - 100% Curve f(x) gradient = f'(x) x 100% 896