(1 point) The velocity of a particle moving along a line is given by 0(t) : t3 4:2 meters per second, Find the net displacement of the particle during the time interval between 1 and 6 seconds Net displacement = (Include the correct units.) TO nd the total distance traveled by the particle during the time interval from 1 t0 6 seconds, we must Split the integral of the absolute value of veloctty into a sum 0t [WC integrals I! k 6 Total distance traveled = f |1:8 7 4F| d: = f 1:1(12) alt + f 2120) dt -1 ii 1 where 1'11\") and 02\") are functions and k is a number such that (Absolute values are not allowed.) 1'1\") = 1:23) = (Absolute values are not allowed) 1:: Total distance traveled = (Include the correct _|-_|_|']