Question

Follow the steps above to draw a pictorial representation of the following problem: A light train is traveling on a straight section of track at a constant speed of 15 m/s. As it approaches the next station, it starts to slow down at a rate of 5 m/s2 until it stops at the station. From the moment the train starts to slow down, how long does it take for the train to reach the station? Note that you are not expected to solve this problem, only to draw the pictorial representation. Part A Draw a motion diagram for the train. Assume that the train is moving toward the right and starts to slow down at t=0. The separation of each dot represents an elapsed time of one second. Include velocity vectors and the acceleration vector in your drawing. Keep in mind that the acceleration of the train has a magnitude of 5 m/s2. Part B Draw the coordinate system that is most appropriate for the train's motion. Since this problem deals with one-dimensional motion, you need only the x-axis. Note that xi, xf, ti, tf, (vx)i and (vx)fare the initial position, final position, initial time, final time, initial velocity, and final velocity of the train, respectively. Keep in mind that the choice of coordinate system is arbitrary. However, in problems involving one-dimensional motion it is often convenient to select the x-axis to match the motion. Thus, in this case the positive end of the x-axis is chosen to be to the right. Though it is an arbitrary choice, it is often convenient to place the origin at the location where the nature of the motion changes. In this problem, it is where the train starts to slow down. We will assume this for Part C. Part C To complete your pictorial representation of the problem, you should compile two lists: one of known quantities and one of the unknown quantities that will allow you to answer the question in the problem. Below are all of the relevant quantities in this problem. Sort them accordingly. Drag the appropriate items to their respective bins.

Answer 1