A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a certain point P with an initial velocity of 4 ft/s. Another particle is also moving along the same path which starts at a distance of 3 ft to the left of P with an initial velocity of 8 ft/s. Suppose the acceleration of the two particles are given by a1(t) = 2t – 3 and a2(t) = 2t – 5, respectively. Will the two particles collide? Justify your answer. %3D -

A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a certain point P with an initial velocity of 4 ft/s. Another particle is also moving along the same path which starts at a distance of 3 ft to the left of P with an initial velocity of 8 ft/s. Suppose the acceleration of the two particles are given by a1(t) = 2t – 3 and a2(t) = 2t – 5, respectively. Will the two particles collide? Justify your answer. %3D -