#7 A triangle has vertices A,B,C as shown in the diagram. It has been translated vertically and/or horizontally to the triangle with vertices labelled A, B, and  C using a translation matrix defined as .

1.) Create an m-file with the name exercise_2_first_name_last_name. 2.) Use linspace() to create an array of times, call it t, from 0 to 5 with 200 points. 3.) Plug the points in t into the following equations: y, (t) = -4.9t2 + 3t and y,(t) = -4.9t2 + 7t where t is in seconds and y is in meters. These equations represent the heights of two objects thrown directly upward with initial positions y = 0 and initial speeds 3" and 7. 4.) Create a figure showing two graphs with the plot command. Graph one equation as green circles and the other as blue dots. You'll want to add the hold on command before the plot commands. It’ll let you graph more than one set of data points. 5.) Add the following labels using xlabel and ylabel: time (s) and height (m). When we graph quantities with units, we include the units in parenthesis directly after the name of the quantity. The reader must know what units are being plotted since they represent real quantities. 6.) Add the following title: Heights vs.…

1. Determine the projection of AB on BC when given the points A(5, 1, – 2), B(0, 3, - 4) and C(4, 0, 3). [A4]

Construct a homogeneous transformation matrix with the provided rotation and translations. R 7 Hint: Remember that a homogeoneous matrix looks like 0 1