Please answer all questions and in clear writing
TASK ZENN Car Batteries SO V-72 70 60 (2.53.6) 10,50.4) 50 Voltage Store (V) 40 ZENN and Now The ZENN (Zero Emissions, No Noise car is an environmentally friendly commuter car invented in Canada. The current model is powered by six 12-volt rechargeable batteries, and has a top speed of 40 km/h. The batteries have the following discharge characteristics Fully charged: 72 V Totally discharged (0 V) with constant usage: 12 h The battery discharge is not constant. The graph shows the discharge pattern of the batteries. . During the first two hours, the batteries discharge exponentially to approximately 80% of original charge. The function for this period has the form V = a[10-4), where Vis the remaining voltage, t is the time in hours, and a and k are constants. The batteries then discharge nonlinearly over the next 8 h to 70% of original charge. The function for this period has the form V-b+ VC-1, where band care constants. During the last 2 h the charge drops on a steep curve to 0 V. The function for this part is V = e(t - pi+q, where x, panda are constants. a) Justify in writing that the graph meets all the conditions described. b) What happened between 12 h and 24 h? Find the equations for the three parts of the curve, for the time interval 10, 12). Specify any restrictions on domain and range, using appropriate mathematical notation. d) If a new rechargeable battery has a discharge time of 20 h, describe how this would effect the graph and change your answers to parte). e) Use the Internet to research how the cost to run this battery-powered car compares to the costs to run a compact gasoline-powered car. Write a brief report to a courier company that is planning to purchase a fleet of small cars for city deliveries. 30 20 10 0 12 Time 198 MHR. Advanced Functions. Chapter 3 TASK ZENN Car Batteries SO V-72 70 60 (2.53.6) 10,50.4) 50 Voltage Store (V) 40 ZENN and Now The ZENN (Zero Emissions, No Noise car is an environmentally friendly commuter car invented in Canada. The current model is powered by six 12-volt rechargeable batteries, and has a top speed of 40 km/h. The batteries have the following discharge characteristics Fully charged: 72 V Totally discharged (0 V) with constant usage: 12 h The battery discharge is not constant. The graph shows the discharge pattern of the batteries. . During the first two hours, the batteries discharge exponentially to approximately 80% of original charge. The function for this period has the form V = a[10-4), where Vis the remaining voltage, t is the time in hours, and a and k are constants. The batteries then discharge nonlinearly over the next 8 h to 70% of original charge. The function for this period has the form V-b+ VC-1, where band care constants. During the last 2 h the charge drops on a steep curve to 0 V. The function for this part is V = e(t - pi+q, where x, panda are constants. a) Justify in writing that the graph meets all the conditions described. b) What happened between 12 h and 24 h? Find the equations for the three parts of the curve, for the time interval 10, 12). Specify any restrictions on domain and range, using appropriate mathematical notation. d) If a new rechargeable battery has a discharge time of 20 h, describe how this would effect the graph and change your answers to parte). e) Use the Internet to research how the cost to run this battery-powered car compares to the costs to run a compact gasoline-powered car. Write a brief report to a courier company that is planning to purchase a fleet of small cars for city deliveries. 30 20 10 0 12 Time 198 MHR. Advanced Functions. Chapter 3
