1.2 A non-stop freight train leaves Edinburgh for London at 6:00 and travels at a steady 75mph (t...
1.2 A non-stop freight train leaves Edinburgh for London at 6:00 and travels at a steady 75mph (time taken to accelerate is negligible) for the 332 miles. A passenger train leaves at 7:00 and travels at 126 mph (again time taken to accelerate is minimal) however it stops every SOmins for a period of 10 minutes before continuing In a table show the distance that each train has travelled at each hour into the journeys Plot this information on a graph with Distance as your y axis and time as your x axis. Does the passenger train overtake the Freight train before they reach London? If so, at what time does it over take it and how far away from London are they when this occurs Now assume that the passenger service no longer stops on its route to London and is now a non-stop service travelling at 125mph for the entire service. COMPLETE THE FOLLOWING WITHOUT REDRAWING THE GRAPH Calculate the equation of the line that you would draw for the passenger train's new journey. Also calculate the equation of the line for the freight train. Using these two equations calculate the point at which the non-stop passenger train over-takes the freight train. How far away from Edinburgh are the trains at this point? SHOW ALL YOUR WORKING 23 Are the following True or False? If the statement is false then give the set for which it wouldS be true 3nn3- x where x E (8, 27, 64, 124) a) c)3n:ZIn>0,2n-n where n E (1,3,5,7,9)
1.2 A non-stop freight train leaves Edinburgh for London at 6:00 and travels at a steady 75mph (time taken to accelerate is negligible) for the 332 miles. A passenger train leaves at 7:00 and travels at 126 mph (again time taken to accelerate is minimal) however it stops every SOmins for a period of 10 minutes before continuing In a table show the distance that each train has travelled at each hour into the journeys Plot this information on a graph with Distance as your y axis and time as your x axis. Does the passenger train overtake the Freight train before they reach London? If so, at what time does it over take it and how far away from London are they when this occurs Now assume that the passenger service no longer stops on its route to London and is now a non-stop service travelling at 125mph for the entire service. COMPLETE THE FOLLOWING WITHOUT REDRAWING THE GRAPH Calculate the equation of the line that you would draw for the passenger train's new journey. Also calculate the equation of the line for the freight train. Using these two equations calculate the point at which the non-stop passenger train over-takes the freight train. How far away from Edinburgh are the trains at this point? SHOW ALL YOUR WORKING 23 Are the following True or False? If the statement is false then give the set for which it wouldS be true 3nn3- x where x E (8, 27, 64, 124) a) c)3n:ZIn>0,2n-n where n E (1,3,5,7,9)