A train makes a journey from Blotchley to Molton Kones along a completely straig

Question

A train makes a journey from Blotchley to Molton Kones along a completely straight track. It leaves Blotchley at time t = 0. Table 1 below shows the velocity !x of the train at various times t for the whole journey.
Table 1 For use with Question 1.
t/s !x/m s-1
00 20 10 40 20 60 28 80 30 120 30 160 30 200 30 220 30 240 29 260 24 280 18 300 12 320 6 340 2 360 0
(a) Plot a graph of !x against t, (use graph paper if you produce the plot by hand). Note that intervals between successive values of t are not all equal.
How long does the journey take?
Using your graph, estimate the distance between Blotchley and Molton Kones.
During the journey there are two periods during which the train is undergoing constant (non-zero) acceleration. Determine the value of the acceleration, ax, during each of those two periods.
What distance does the train travel at constant speed? Using your graph of !x against t to help you, sketch (not on graph paper) a graph of the distance travelled by the train against time for the whole journey.
You do not need to calculate any actual distances for this sketch but you should concentrate on getting the general shape correct and each axis should

Explanation / Answer

I apologize if this is a repost as I thought I answered this but may not have hit "Post" as I don't see an answer. Firstly, the table 1 is very much unclear, but the steps are the same regardless of what the actual table values are. "how long does the journey take" : You have the time in your table. We must assume that the trip is over at the greatest time in the table. "estimate the distance" : Be aware that the distance = velocity * time. The graph displays this "graphically". e.g. if the velocity is constant (1m/s) for 5 seconds, the graph will show a line 1m/s high and 5 seconds long. Multiplying them (or looking at the area of the box created by the line) gives you the distance (m/s * s = m). For each section of the journey, the graph shows you by the area under the curve this same calculation. Compute the distance for each section and add them together. "...constant acceleration...determine the value of acceleration..." : When the velocity is constant, the graph will show a flat line. A constant velocity is no acceleration. When the velocity is increasing steadily, this is constant acceleration. What will the graph line look like if the velocity is steadily increasing? This will show you where it is constantly accelerating. The value of acceleration is how much the velocity increases for each unit of time, change in velocity per change in time. Measure the change in velocity, and the change in time and your acceleration will be v/t. "distance traveled by train...for whole journey" : You already did this in the second step above when you determined the distance for the journey. Now they are just asking you to do each section, and put a spot on the graph for it. As you compute distance traveled for each section, it will be added to your current distance, and plotted at that point in the graph.

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