Good morning,
Quick question I have a question on simple motion.
Ive been given a table of values from which I constructed Velocity v Time graph which is roughly the shape of a trapezium. From this I worked out the total distance covered.
Now I want to make a graph of total distance v the time taken. My maximum values are 600 seconds for time and 14400 meters for distance.
I assume this graph will just be a straight line through the origin? Am I correct?
To add this is a train journey from point A to B and the train does not stop until it reaches point B.
distance is the area under the graph (d=v*t). So compute that by breaking it up into geometric figures you can count.
Straight line for distance vs time? probably not. If v changes, the distance graph curves differently.
Good morning!
To make a graph of total distance versus time, you first need to understand the relationship between distance, velocity, and time. In simple motion, velocity is the rate of change of displacement with respect to time, and distance is the total length covered.
From your given table of values and the constructed velocity versus time graph, you can find the distance covered by integrating the velocity over time. If the velocity changes linearly throughout the time interval, the area under the velocity versus time graph represents the distance traveled. In this case, since you mentioned that the velocity versus time graph is roughly the shape of a trapezium, you would approximate the area as the sum of the areas of multiple trapezoids.
Once you have calculated the total distance covered, you can proceed to make a graph of total distance versus time. In general, the graph will not necessarily be a straight line through the origin, unless the velocity is constant or changes in a specific manner. Therefore, it is important to analyze the relationship between distance and time based on the given data.
To create the graph, you can plot the total distance on the y-axis and the corresponding time on the x-axis. The scale of the axes should be based on the maximum values given (600 seconds for time and 14400 meters for distance). Connect the data points on the graph with a smooth curve, and this will represent the relationship between total distance and time.
I hope this explanation helps you understand how to create the graph of total distance versus time. If you have any further questions, feel free to ask!