For the following exercises, use the incremental development methodology to implement the...

For the following exercises, use the incremental development methodology to implement the program. For each exercise, identify the program tasks, create a design document with class descriptions, and draw the program diagram. Map out the development steps at the start. Present any design alternatives and justify your selection. Be sure to perform adequate testing at the end of each development step.

Redo the watermelon projectile computing program of Exercise 30 on page 362 to output the average distance covered between each time interval. Use the expression

to compute the distance between two coordinate points (x₁, y₁) and (x₂, y₂).

Reference Exercise 30 on page 362.

Instead of dropping a watermelon from a building, let’s shoot it from a cannon and compute its projectile. The (x, y) coordinates of a watermelon at time t are

where g is the acceleration of gravity, V is the initial velocity, and (alpha) is the initial angle. The acceleration of gravity on earth is 9.8 m/s².

Write an application that inputs an initial velocity V (m/s) and an initial angle alpha (degrees) and computes the projectile of a watermelon cannon ball. The program should repeat the computation until the user wants to quit. The program outputs the (x, y) oordinate value for every second, that is, t = 0, 1, 2, and so forth. The program stops the output when the y value becomes 0 or less. To use the cos and sin methods of the Math class, don’t forget that you have to convert the input angle given in degrees to radians. You can convert a degree to equivalent radians by using the following

or calling the toRadians method of the Math class. Note: Air resistance is not considered in the formula. Also, we assumed the watermelon will not get smashed upon firing.