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1. Your Personal Space-Time Diagram. [50 points]. Look at the sample spacetime diagram in Figure 83.8 on page 428 of the textbook. It described the coupled space-time history of ten minutes of driving a car. For this assignment, you want to make a Space~Time Diagram for your typical activity [as in Fig. S3.8(b]] on a typical class day (Monday, Wednesday or Friday) from 1:00 to 2:30 PM. This is the period from 25 minutes prior to class to 15 minutes after class [to 2:30]. [A] As in Figure 53.8 [a], write down what you typically do during that time in, say, 10 minute (B) (C) blocks of time. Sometimes you will be stationary, sometimes moving---your spacetime evolution changes throughout the periodperhaps in one dimension only [time], perhaps in two dimensions [space and time]. Your time activities are already in units of Eastern Standard Time, but you need to describe your spatial activities with respect to some fixed reference point. Take as that reference point the podium CAS 211 (where Emmet runs the computer]. That is the origin of space for this exercise--you will be at various distances from that podium between 1:00 2:30 PM. You have to estimate distances in feet from that reference point. Now, transfer your space-time pattern to the piece of graph paper provided on the back of this page. [You may want to do this in pencil to allow for corrections] Note that the space axis extends from zero (meaning at the podium] to 100 feet from it. When in CA8 211, you cannot be more than 100 feet from the podium. When you are beyond CAS 211, before or after class, you are clearly more distant than 100 feet~50 just use the tick mark ">100 feet\" [for example, when you enter the CA8 building, two oors below at street level). 8:10 Car comes to a stop at work. 8:10 - When the saris moving at 8:09:30 Car begins to decelerate. constant velocity, its c? 8:09 worldline is straight but \\0' slanted. ................. \"0% 8-08 """""" . 065 Car maintains 60 km/hr. ' 44 807 _ When the saris stopped, a ' its world/ins is vertical. 8:06 Car reaches 60 km/hr. CD 8:06 ' .E 1 '-. 8:05 Car begins to accelerate from rest. \" 8:05 When the garaCCQIQratgs' its Car at rest. " a war/dime curves to the right. 8:04 Car comes to stop at stop sign. 8:04 - r 8:03:30 Car begins to decelerate. . 8:03 _ -_, When the car decelerates, Car maintains 50 km/h r. 802 its world/ins Gun/es upward 8:01 Car reaches 60 km/hr. 8:01 8:00 Car accelerates away from home. space (km) a This diagram shows the events that occur during a 10-minute car b We make a spacetime diagram for the trip by putting trip from home to work on a straight road. space (in this case, the car's distance from home) on the horizontal axis and time on the vertical axis. FIGURE 53.8 A spacetime diagram allows us to represent one dimension of space and the dimension of time on a single graph