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The square of the final velocity equals the sum of the square of the initial velocity and twice the product of the acceleration and the displacement since the initial time

Add the following lines to the @implementation section to complete the properties:

The three equations for motion with constant acceleration are summarized in Table 3-3 Note that in a multi-step problem, it is useful to add additional subscripts to identify which step is under consideration

Table 3-3

di )

Displacement An automobile starts at rest and speeds up at 35 m/s2 after the traffic light turns green How far will it have gone when it is traveling at 25 m/s

The variable cust is set to the full pathname of the Customer table The variable can then be referenced in any SQL statement by preceding it with a colon (:)

Sketch the situation Establish coordinate axes Draw a motion diagram Known:

Unknown:

@synthesize image; @synthesize text;

vf2 2a (25 m/s)2 (000 m/s)2 2(35 m/s2 )

Are the units correct Position is measured in meters Does the sign make sense The positive sign agrees with both the pictorial and physical models Is the magnitude realistic The displacement is almost the length of a football field It seems large, but 25 m/s is fast (about 55 mph); therefore, the result is reasonable

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26 A skateboarder is moving at a constant velocity of 175 m/s when she starts up an incline that causes her to slow down with a constant acceleration of 020 m/s2 How much time passes from when she begins to slow down until she begins to move back down the incline 27 A race car travels on a racetrack at 44 m/s and slows at a constant rate to a velocity of 22 m/s over 11 s How far does it move during this time 28 A car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m How long does it take to achieve this speed 29 A bike rider pedals with constant acceleration to reach a velocity of 75 m/s over a time of 45 s During the period of acceleration, the bike s displacement is 19 m What was the initial velocity of the bike

Two-Part Motion You are driving a car, traveling at a constant velocity of 25 m/s, when you see a child suddenly run onto the road It takes 045 s for you to react and apply the brakes As a result, the car slows with a steady acceleration of 85 m/s2 and comes to a stop What is the total distance that the car moves before it stops

Sketch the situation Choose a coordinate system with the motion of the car in the positive direction Draw the motion diagram and label v and a Known:

These properties will be used with Cocoa Bindings to let the user drag in an image and type in some text which will be automatically attached to our controller object, which in turn updates the view. You ll notice that we re importing a LOLView.h header file and declaring an instance variable of type LOLView*, even though the LOLView class hasn t been completed yet. Solve that problem right away by creating another new set of class files, this time for LOLView, an NSView subclass. We ll implement LOLView in just a few minutes, but for now let s go configure the GUI. Double-click MainMenu.xib to bring it up in Interface Builder, and use the Library to drag a custom view, an image well, and a text field into the empty window. Use the Identity Inspector to set the class of the custom view to LOLView, and the Attributes Inspector to turn on the Editable checkbox for the image well. Finally, connect the app delegate s lolView outlet to the LOLView in the window. When everything is laid out, your window should resemble Figure 13 9.

Unknown:

Reacting: Solve for the distance the car travels at a constant speed dreacting vreactingtreacting dreacting (25 m/s)(045 s) Substitute vreacting 11 m Braking: Solve for the distance the car moves while braking vf, braking2 vreacting2 2abraking(dbraking) Solve for dbraking dbraking

vf, braking2 vreacting2 2abraking (000 m/s)2 (25 m/s)2 2( 85 m/s2)

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