IN MATLAB

Problem 1: Many farmers use center-pivot irrigation systems which rotate around a circle of crops to easily water their crops. Center-pivot irrigation systems are typically up to 500 m long (circle radius). The typical corn plan requires about 0.1 m2 of area to grow properly for maximum yield. Plot the number of corn plants that can be grown with a center-pivot irrigation system (question: will this plot be linear?), and include a title and axis labels. Calculate and print the maximum number of corn ears the biggest center pivot irrigation will yield from this system if each corn stalk yields about 1.5 ears of corn.

Problem 2: In some cultures, people celebrate by shooting a bullet straight up into the air, which can be a dangerous practice. If the muzzle velocity of the projectile is 715 m/s, write a script to tell the user how high the bullet travels, when the bullet reaches max height, and when the bullet will return back to the ground (take cover!). First, create a time vector t from 0 to 200 in increments of 0.1. Second, use the projectile motion equation = 0 1 2 to calculate the project heights over this time interval (let g2= 9.81 m/s). Third, plot the height of the projectile over time. Fourth, find the positive height values greater than 0 and re-plot the data so only the positive height values are included (projectile cant gothrough the ground), and add a title and axis labels. Fifth, find the maximum height and corresponding time, then print both values to the user (i.e. The projectile will reach a max height of y(t) m at t s).Finally, find the time when the projectile will hit the ground again and print this value to the user.