Write a Program in Java, which determines the distance travelled by a projectile (launched from the ground) given:
1. The velocity at launch (u), and
2.The launch angle (angle of elevation) above the horizontal (A).
The program should consist of two files: Launch.java and LaunchApp.java (application).
Assume the following:
1. The angle of elevation is given in degrees and is in the range of 0 to 90.
2. Start velocity is given as a positive number.
3. Gravity (g) is equivalent to 10m/s ^ 2.
4. Ignore air resistance.
Note also that to solve the above we must carry out the following steps:
1. Calculate the vertical and horizontal components of u (the launch velocity) using the following trigonometric identities:
Vertical component of launch velocity (Vu) = u x sinA
Horizontal component of launch velocity (Hu) = u x cosA
2. Calculate the time (t) taken for the body to return to the ground using the identity:
t = (2 x Vu) / a
where a (deceleration due to gravity) is equivalent to g (10m/s ^ 2 in this case).
3. Calculate distance (s) travelled from the identity:
s = Hu x t
EXAMPLE:
A body is projected with a velocity of u = 200 m/s at an angle of elevation A = 30 degrees above the horizontal. Determine the distance travelled by the projectile.
Vu = 200 x sin30 = 100 (m/s)
Hu = 200 x cos30 = 173.2 (m/s)
t = {2 x 100) / 10 = 20 (s)
s = 20 x 173.2051 = 3464.1 (m)
Remember to write the source code for each class in a separate file which must have the same name as the class name together with the extension .java. Remember also that by convention, class names commence with a capital letter.
You should provide a well-structured solution that is easy to read. You should use meaningful identifier names and should provide useful comments.
