rocket's position measured from the center of the Earth is given by y(t) = RE3/2 + 3 g 2 REt 2/3 j where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t). (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.) vy(t) = $$ Correct: Your answer is correct. m/s j ay(t) = $$ Incorrect: Your answer is incorrect. m/s2 j (b) Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful. Submit a file with a maximum size of 1 MB.)