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4 Two trains simultaneously leave the same train station at noon One train travels north and the other travels south The position-time graph for both trains is shown in the accompanying figure a What is the position of the train traveling north at 60 h b What is the position of the train traveling south at 60 h c What is the distance between the trains at 60 h What is the distance at 100 h d At what time are the trains 6000 km apart e Which train is moving more quickly

Position (km)

40 60 80 100

Time (s)

5 Two cars head out in the same direction Car A starts 10 min before car B The position-time graphs for both cars are shown in the accompanying figure a How far apart are the two cars when car B starts out at t 10 min b At what time do the cars meet c How far apart are the cars at time t 30 min

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the convention of providing class methods named keyPathsForValuesAffectingFilename and keyPathsForValuesAffectingFileIcon, in order to ensure that changes made to one bindings-friendly value cause another value to be re-fetched. We last used this in the context of a Core Data model class, but it works equally well here, ensuring that any time the filePath or fileWrapper values are changed, any views binding their content to filename or fileIcon will automatically reload their content. Both the filename and fileIcon methods use the previouslycreated fileWrapper to access the values for display.

7 A child s toy train moves at a constant speed of 20 cm/s a Draw the position-time graph showing the position of the toy for 10 min b What is the slope of the line representing the motion of the toy 8 The position of an airplane as a function of time is shown in the figure below a What is the average velocity of the airplane b What is the average speed of the airplane

Time (h) 00 10 20 30 40 50

FROM from_list [,]

Position (km)

15 10 05

2000 Position (km) 4000 6000 8000

+ (NSSet *)keyPathsForValuesAffectingFilename { return [NSSet setWithObjects:@"filePath", @"fileWrapper", nil]; } - (NSString *)filename { return [fileWrapper filename]; } + (NSSet *)keyPathsForValuesAffectingFileIcon { return [NSSet setWithObjects:@"filePath", @"fileWrapper", nil]; } - (NSImage *)fileIcon { return [fileWrapper icon]; }

Time (min)

6 The position-time graph for two joggers, A and B, is shown in the accompanying figure a How far apart are the two runners at 100 min b At what time are they 100 km apart c How far apart are they at 500 min d At what time do they meet e What distance does jogger B cover between 300 min and 500 min f What distance does jogger A cover between 300 min and 500 min

200 150 100 050

9 The position-time graph for a hot-air balloon that is in flight is shown in the accompanying figure a What is the average velocity of the balloon b What is the average speed of the balloon

Time (h)

Position (km)

We provide similar functionality in order to display info about the application that will be launched if the user double-clicks the chosen file in the Finder. This time, we re using the NSWorkspace class, which represents something akin to the Finder itself. NSWorkspace can do a number of things, such as launching applications and manipulating files. In opensAppIcon, we first use the workspace to get the name of the application that is the default opener for the chosen file, then ask the workspace for the application s icon. In opensAppName, we just get the name of the application. Once again, we use the keyPathsForValuesAffectingXxx convention to make sure these values are properly refreshed when a new file is selected.

Position (km)

100 200 300 400

000 100 200 300 400 500 Time (min)

3

1 Jason and his sister, Tara, are riding bicycles Jason tries to catch up to Tara, who has a 100-s head start a What is Jason s acceleration b What is Tara s acceleration c At what time do they have the same velocity

+ (NSSet *)keyPathsForValuesAffectingOpensAppIcon { return [NSSet setWithObjects:@"filePath", @"fileWrapper", nil]; } - (NSImage *)opensAppIcon { NSWorkspace *workspace = [NSWorkspace sharedWorkspace]; NSString *appName = nil; [workspace getInfoForFile:self.filePath application:&appName type:NULL]; return appName [workspace iconForFile:appName] : nil; } + (NSSet *)keyPathsForValuesAffectingOpensAppName { return [NSSet setWithObjects:@"filePath", @"fileWrapper", nil]; } - (NSString *)opensAppName { NSWorkspace *workspace = [NSWorkspace sharedWorkspace]; NSString *appName = nil; [workspace getInfoForFile:self.filePath application:&appName type:NULL]; return appName; }

Time (s)

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