Question 2 1pt 9 1 8 Details Suppose that the height of a particle is given by s(t) = to - 14t + 44, t 2 0, where t is measured in seconds and the height is measured in meters. (a) Find the velocity at time t. v(t) : m S (b) Find the velocity at time t = 4 seconds. m U = (c) When is the particle at rest? t seconds (d) When is the particle moving in a downward direction? seconds (e) Find the total distance traveled by the particle during the first 4 seconds of travel. (Round your answer to the nearest hundredths place.) meters