Let V and W be two objects on a straight track, both starting at the same position at time t = 0. Let v(t) = sin(t) and w(t) = sin"(t) describe their respective velocities at time t. (a) Describe in one to three sentences what physical quantity is represented by 1 ( v (t ) - w(t ) at. (b) What maximum distance between the two objects is achieved before the distance between them starts to decrease (for the first time)? Explain your answer carefully. (c) Is the distance between the two objects bounded? In other words, does there exist some number / such that the distance between the two objects will never exceed N? Justify your answer carefully