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SOLUTION With notation as developed above, we know that velocity is given by h (t) = 32t + 0 We have taken v0 to be 0 because the body is a falling body; it had no initial push If T is the time at which the body hits the ground, then we know that 100 = h (T ) = 32 T As a result, T = 25/8 sec

There are several things of interest in the preceding example First, notice how ISeries is declared:

public interface ISeries<T> {

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As mentioned, a generic interface uses a syntax similar to that of a generic class Now, notice how ByTwos, which implements ISeries, is declared:

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When the body hits the ground, its height is 0 Thus we know that 0 = h(T ) = h(25/8) = 16 (25/8)2 + h0 We may solve for h0 to obtain 625 4 Thus all the information about our falling body is given by h0 = h(t) = 16t 2 + At time t = 0 we have 625 4 Thus the initial height of the falling body is 625/4 ft = 15625 ft h(0) = Notice that, in the process of solving the last example, and in the discussion preceding it, we learned that h0 represents the initial height of the falling body and v0 represents the initial velocity of the falling body This information will be useful in the other examples that we examine EXAMPLE 315

class ByTwos<T> : ISeries<T> {

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The type parameter T is specified by ByTwos and is also specified in ISeries This is important A class that implements a generic version of a generic interface must, itself, be generic For example, the following declaration would be illegal because T is not defined:

class ByTwos : ISeries<T> { // Wrong!

101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

The type argument required by the ISeries interface must be passed to ByTwos Otherwise, there is no way for the interface to receive the type argument Next, the current value of the series, val, and the starting value, start, are declared to be objects of the generic type T Then, a delegate called IncByTwo is declared This delegate defines the form of a method that will be used to increase an object of type T by two In order for ByTwos to work with any type of data, there must be some way to define what an increase by two means for each type of data This is achieved by passing to the ByTwos constructor a reference to a method that performs an increase by two This reference is stored in incr When the next element in the series is needed, that method is called through the incr delegate to obtain the next value in the series Notice the class ThreeD It encapsulates three-dimensional (X,Z,Y) coordinates It is used to demonstrate ByTwos on a class type In GenIntfDemo, three increment methods are declared; one for int, one for double, and one for objects of type ThreeD These are passed to the ByTwos constructor when objects of their respective types are created Pay special attention to ThreeDPlusTwo( ), shown here:

A body is thrown straight down with an initial velocity of 10 feet per second It strikes the ground in 12 seconds What was the initial height

// Define plus two for ThreeD static ThreeD ThreeDPlusTwo(ThreeD v) { if(v==null) return new ThreeD(0, 0, 0); else return new ThreeD(vx + 2, vy + 2, vz + 2); }

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