How do you find the total distance traveled by a particle that moves along a line? Calculus Applications of Definite Integrals Net Change: Motion on a Line 1 Answer Wataru Sep 9, 2014 If #p(t)# is the position function of a particle, the distance traveled by the particle from #t=t_1# to #t=t_2# can be found by #int_{t_1}^{t_2}|p'(t)|dt#. Answer link Related questions How do you find the velocity of a particle that moves along a line? How do you find the stationary points of a particle that moves along a line? How do you find the speed of a particle that moves along a line? How do you find the displacement of a particle that moves along a line? How do you find the instantaneous velocity for the particle whose position at time #t# is given... How do you find the instantaneous acceleration for the particle whose position at time #t# is... How do you find the total displacement for the particle whose position at time #t# is given by... How many values of t does the particle change direction if a particle moves with acceleration... What is the position of a particle at time #t=2# if a particle moves along the x axis so that at... How do you find the position function #x(t)# if you suppose that the mass in a... See all questions in Net Change: Motion on a Line Impact of this question 6537 views around the world You can reuse this answer Creative Commons License