Please answer the following

103 12. RATES OF CHANGE IN NATURAL AND SOCIAL SCIENCES (1) Let s(t) = 13 - 812 + 13t be the position function in feet of a moving particle where t is in seconds. . Find the velocity v(t) of the particle at time t. What is the velocity when t = 3 seconds? . When is the particle at rest? . When is the particle moving forward? When is it moving backward? . Draw a diagram to represent the motion of the particle. . Find the total distance travelled by the particle in the first 10 seconds. . Find the acceleration a(t) of the particle at time t. What is the acceleration when t = 3 seconds? . Draw the graphs of v(t) and a(t) in the same coordinate plane. . When is the particle speeding up