Create a program: graphs, or plots should have titles, labels for the axes and any other symbols that make them easy to read.
1. Asks the user for: (i) the initial velocity vo , (ii) the angle of release measured relative to the horizontal θo , and (iii) the height of the launching point relative to the level ground, H. With this information, (a) Find the time of flight for the projectile, tf =[ vo sin θo + ( ( vo sin θo )2 + 2H g)1/2] /(g), with g = 9.80 m/s2
(b) Plot the trajectory of the projectile every 0.01 s. Here x and y are given by
x = vo( cosθo ) t and y = H + vo ( sin θo ) t - (g t2 ) / 2
2. Write a program that generates three random numbers, each between 0 and 9. The three numbers are displayed and the message "You got Lucky Fours" will be displayed if at least two of the digits are 4.
3. plot the function: y = -8xe^-x/8 in the interval: 0 less than or equal to x less than or equal to 20 in steps of 0.20
4. plot the function: y = 5x^3 in the interval: 2 less than or equal to x less than or equal to 12 in steps of 0.05 the plot for problem 4 should be in either log-log or semi-log scale, so as to get a straight line.