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Part I:

The position of a body moving along a linear track is given by p( t) = 3t2 5t + 7 feet Calculate the velocity and the acceleration at time t = 3 seconds

computer languages, C# supports a full range of arithmetic operators, including those shown here:

Here are the next two lines in the program:

ConsoleWrite("y contains x / 2: "); ConsoleWriteLine(y);

Two new things are occurring here First, the built-in method Write( ) is used to display the string y contains x / 2: This string is not followed by a new line This means that when the next output is generated, it will start on the same line The Write( ) method is just like WriteLine( ), except that it does not output a new line after each call Second, in the call to WriteLine( ), notice that y is used by itself Both Write( ) and WriteLine( ) can be used to output values of any of C# s built-in types One more point about declaring variables before we move on: It is possible to declare two or more variables using the same declaration statement Just separate their names by commas For example, x and y could have been declared like this:

The velocity is given by p ( t) = 6t 5 At time t = 3 we therefore find that the velocity is p ( 3) = 18 5 = 13 ft/sec The acceleration is given by the second derivative: p ( t) = ( p ) ( t) = ( 6t 5) = 6 The acceleration at time t = 3 is therefore 6 ft/sec2

variables whose type is automatically determined by the compiler Implicitly typed variables are discussed in 3

Next, count references to yourself and your organization: us (When the word we refers to both the reader and writer, don t count it) When the two numbers are subtracted ( us from them ), you should end up with a positive number The higher the positive number, the more reader focused the writing The more reader focused the writing, the more potent your communications are likely to be Consider, for example, this sentence, drafted by a scienti c laboratory:

In the preceding program, a variable of type int was used However, an int variable can hold only whole numbers It cannot be used when a fractional component is required For example, an int variable can hold the value 18, but not the value 183 Fortunately, int is only one of several data types defined by C# To allow numbers with fractional components, C# defines two floating-point types: float and double, which represent single- and doubleprecision values, respectively Of the two, double is the most commonly used To declare a variable of type double, use a statement similar to that shown here:

double result;

As previously noted, velocity is measured in feet per second (or ft/sec) Acceleration is the rate of change of velocity with respect to time; therefore acceleration is measured in ``feet per second per second'' (or ft/sec2 )

Here, result is the name of the variable, which is of type double Because result has a floating-point type, it can hold values such as 12223, 0034, or 190 To better understand the difference between int and double, try the following program:

/* This program illustrates the differences between int and double */

2:

An Overview of C#

A massive ball is dropped from a tower It is known that a falling body descends (near the surface of the earth) with an acceleration of about 32 ft/sec From this information one can determine that the equation for the position of the ball at time t is p( t) = 16t2 + v0 t + h0 ft

using System; class Example3 { static void Main() { int ivar; // this declares an int variable double dvar; // this declares a floating-point variable ivar = 100; // assign ivar the value 100