(Introduction to Java Programming Comprehensive Version 10e Daniel Liang)
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Extra Exercise for Chapter 1
*1.1 (Simple computation) The formula for computing the discriminant of a quadratic equation
ax 2 + bx + c = 0 is b^2 – 4ac. Write a program that computes the discriminant for the equation
3x^2 + 4x + 5.
*1.2 (Physics: acceleration) Average acceleration is defined as the change of velocity divided by the
time taken to make the change, as shown in the following formula:
v1 − v0
a=
t
Here, v0 is the starting velocity in meters/second, v1 is the ending velocity in meters/second, and t is the
time span in seconds. Assume v0 is 5.6, v1 is 10.5, and t is 0.5, and displays the average acceleration.
Extra Exercise for Chapter 2
*2.1 (Rectangle perimeter, area, and diagonal length) Write a program that prompts the user to enter
the width and height of a rectangle and displays the perimeter, area, and the length of diagonal.
Here is a sample run:
<output>
Enter the width and height of a rectangle: 4.25 7.26 <enter icon>
The perimeter is 23.02
The area is 30.855
The length of the diagonal is 8.412496656760108
<end output>
1
,*2.2 (Physics: one dimensional motion) By one dimension, we mean that the object is moving in a
straight line. There are five variables that put together in several equations for describing this
motion:
Eq1: v1 = v0 + a t
Eq2: d = averageSpe ed t , averagespe ed = ( v0 + v1 ) / 2
Eq3: d = v0 t + a t / 2 (Eq3 is derived from Eq1 and Eq2)
2
v =v + 2 a d (Eq4 is derived from Eq1 and Eq2)
2 2
Eq4: 1 0
Where
v1 is the final velocity in meters per second ( m / s )
v0 is the initial velocity in meters per second ( m / s )
t is the time elapsed in seconds
a is the object’s acceleration in meters per square second ( m / s 2 )
d is the distance traveled in meters
Suppose a ball is released from the top of a building, you can write a program to find out the height of the
building, given the travel time for the ball to the ground. Note that the acceleration due to gravity is
2
constant 9.8 m / s . Here is a sample run:
<output>
Enter the ball travel time in seconds: 2.5 <enter icon>
The height of the building is 30.625 meters
<end output>
*2.3 (Physics: friction coefficient) The force pushing or pulling an object is related to the object’s mass,
acceleration, and a coefficient of friction in the following formula:
F = umg +ma
Where
F is the force applied to push or pull an object in Newtons (N)
u is a coefficient of friction ( u k is small for a smooth surface and large for a rough surface)
2
, m is the object’s mass in kilograms (kg)
g is the acceleration due to gravity, which is a constant 9.8 m / s 2 (meters per square second)
a is the object’s acceleration in meters per square second ( m / s 2 )
Write a program that prompts the user to enter input for F , m , and a , and displays the coefficient of
friction. Here is a sample run:
<output>
Enter the friction force in Newtons: 150 <enter icon>
Enter the object’s mass in kg: 24.5 <enter icon>
Enter the object’s acceleration in m/s^2: 4.5 <enter icon>
The coefficient for friction is 0.165556
<end output>
*2.4 (Slope of a line) Write a program that prompts the user to enter the coordinates of two points (x1,
y1) and (x2, y2), and displays the slope of the line connects the two points. The formula of the
slope is ( y2 − y1 ) /( x2 − x1 ) . Here is a sample run:
<output>
Enter the coordinates for two points: 4.5 -5.5 6.6 -6.5 <enter icon>
The slope for the line that connects two points (4.5, -5.5) and (6.6, -
6.5) is -0.47619
<end output>
Extra Exercise for Chapter 3
*3.1 (Reduce fractions) Write a program that prompts the user to enter the numerator and denominator
of a fraction. The program determines whether the number is a proper fraction or an improper
fraction. If it is a proper fraction, display the number. If not, reduce it to a mixed fraction or to an
integer. Here are sample runs:
<output>
Enter a numerator: 45 <enter icon>
Enter a denominator: 46 <enter icon>
3
, is a proper fraction
<end output>
<output>
Enter a numerator: 45 <enter icon>
Enter a denominator: 25 <enter icon>
is an improper fraction and it can be reduced to 3
<end output>
<output>
Enter a numerator: 45 <enter icon>
Enter a denominator: 15 <enter icon>
is an improper fraction and it can be reduced to 3
<end output>
<output>
Enter a numerator: 45 <enter icon>
Enter a denominator: 25 <enter icon>
is an improper fraction and its mixed fraction is 1 + <enter
icon>
<output>
*3.2 (Slope-intercept form) Write a program that prompts the user to enter the coordinates of two points
(x1, y1) and (x2, y2), and displays the line equation in the slope-intercept form, i.e., y = mx + b.
For a review of line equations, see http://www.purplemath.com/modules/strtlneq.htm. m and b can
be computed using the following formula:
m = ( y2 − y1 ) /( x2 − x1 ) b = y1 − mx1
Don’t display m if it is 1 and don’t display b if it is 0. Here are sample runs:
<output>
Enter the coordinates for two points: 1 1 0 0 <enter icon>
The line equation for two points (1, 1) and (0, 0) is y = x
<end output>
<output>
Enter the coordinates for two points: 4.5 -5.5 6.6 -6.5 <enter icon>
The line equation for two points (4.5, -5.5) and (6.6, -6.5) is
4
