Need a to e please

38, The velocity of a particle is given by the function v(t) = 313 - 412 + t. (a) (1 point) Find the displacement of the particle from time t - 0 seconds to time t = 2 seconds. (b) (1 point) What would we have to change to find the distance traveled by the particle during the same time. (c) (1 point) List the roots of v(t). (d) (1 point) Using these roots, describe the distance traveled during the time period 0 to 2 seconds with definite integrals. (e) (1 point) Calculate the distance traveled by the particle from time t = 0 seconds to time t = 2 seconds