Matlab homework Problem1: Figure P2.8a) base is a circle base is a rectangle base is a triangle Figure P2.8lb) Figure P2.8(c) (a) The volume of a cylinder is r2h. Define ras 3 and has the matrix h[1, 5, 12] Find the volume of the cylinders (see Figure P2.8a) (b) The area of a triangle is 1/2 the length of the base of the triangle, times the height of the triangle. Define the base as the matrix b [2, 4, 6] and the height h as 12, and find the area of the triangles (see Figure P2.8b) (c) The volume of any right prism is the area of the base of the prism, times the vertical limension of the prism. The base ot the prism can be any shape-for example, a circle, a rectangle, or a triangle. Find the volume of the prisms created from the triangles of part (b) Assume that the vertical dimension of these prisms is 6 (see Figure P2.8c) Problem 2: The general equation for the distance that a freely falling body has traveled (neglecting air friction) is Assume that g 9.8 m/s2. Generate a table of time versus distance traveled for values of time from 0 to 100 seconds, Choose a suitable increment for your time vector. (Hint. Be careful to use the correct operators; 7 is an array operation!)