A particle moves according to a law of motion 5 = f(t), t 2 0, where t is measured in seconds and s in feet. rm = te't/4 (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity after 2 5? (Round your answer to two decimal places.) v = :l ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) : (e) Find the total distance traveled during the first 10 5. (Round your answer to two decimal places.) :1 F' (f) Find the acceleration at time t (in ft/sz). Find the acceleration after 2 5. (Round your answer to three decimal places.) em = l: W (9) Graph the position, velocity, and acceleration functions for the rst 10 5. Y Y