Help with physics graph sketch?

sketch a postion time graph for a student stopping at the school, which 5km east of home

how would the graph look like

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To sketch the position-time graph for a student stopping at the school, which is 5 km east of home, you need to understand the relationship between position and time.

First, let's set up a coordinate system. Let the positive x-axis represent the direction towards the school (east), and let the origin (0,0) be the location of the student's home.

Initially, the student is at the home, which is the starting point. This means that at time t = 0, the position of the student is at x = 0 km.

Next, we need to determine how the position changes with time. Since the student is moving east, away from the home, the position will increase as time progresses.

Given that the distance from home to the school is 5 km, we can say that when the student reaches the school, the position will be x = 5 km. To determine how long it takes for the student to travel this distance, we need to know the student's speed or the time it takes to cover 1 km.

Assuming the student's speed is constant, let's say it takes the student 1 hour (60 minutes) to travel 1 km. Now we can calculate the time it takes for the student to reach the school.

Since the student needs to travel a total distance of 5 km, and it takes 1 hour to travel 1 km, the total time required will be 5 hours.

Therefore, we can plot the position-time graph as follows:
- At t = 0, the position x = 0 km.
- At t = 5 hours, the position x = 5 km.

To create the graph, draw a straight line that starts at (0,0) and ends at (5,5). This line represents the student's movement from home to the school over time.

Note: The slope of the line represents the student's velocity. In this case, the slope is constant, indicating a constant velocity.

Remember to label both axes correctly, with position (x) on the y-axis and time (t) on the x-axis.