15 A particle is moving along a straight line with acceleration a(t) =31n ft/sQ. Compute the following without using a 2Vt calculator and show every step. (a) The velocity function U(t) at time if 9(4) = 8. Write your result in radical form and/or fraction form. (b) The position function s(t) at time if 3(0) = 4. Write your result in radical form and/or fraction form. (c) The position of the particle after = 1 second. Write your result as an exact number and include the appropriate unit