Question 9. The position (in meters) of a particle moving back and forth along a straight path at time t is given by s(t) = 0.01t4 -0.04t3, where t is in minutes. (a) What is the position of the particle at time t = 4? Make sure to include units. (b) What is the velocity of the particle at time t? Make sure to include units. (c) When is the particle at rest? (d) The particle is moving to the right when the velocity is positive and to the left when the velocity is negative. Keeping this information in mind, what is the total distance the particle has traveled when t = 4 minutes?