Question

12. Below are shown four velocity-versus-time graphs. For each: Draw the corresponding position-versus-time graph Give a written description of the motion. Assume that the motion takes place along a horizontal line and that x00 b. a. C.

Answer 1

In motion (a) t = 0 to t = 4 velocity is constant and it is in + x direction t = t_1 to t = t_2 particle at rest so position is fixed tonally t = t_2 to t = t_3 its direction is reverse. In motion (b) particle ace t = 0 to t = t_1 so its velocity increase freely t = t_1 to t = t_2 its velocity constant. In motion (c) cost t = 0 to t = t_1 particle moves with constant velocity in + x direction t = t_1 to then its moves with constant velocity but direction reverse t = t_2 to t = t_3 it decelerator at and finely t = t_3 it stop. In motion (d) initial velocity of particle is v_0 but it retard continuously t = 0 to t = t_1 at t = t_1 it stop and after t = t_1 to t = t_2 it move