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To calculate the gradient of the line on a graph, you need to divide the changein the vertical axis by the change in the horizontal axis.
If it is distance from a point versus time, with distance on the vertical axis and time on the horizontal axis, it would show a steep vertical climb on the graph. The steeper vertical change, the faster, but never completely vertical. Large "rise" (distance) over short "run" (time). With 0 acceleration, the graph is a straight line.
Idependent
the distance time graph will show a linear or a straight line
Distance you read off directly from the graph. Speed is the rate of increase of distance, so it is the slope (gradient) of the graph.
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
distance vs time suggests velocity while distance vs time squared suggests acceleration
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
To calculate the gradient of the line on a graph, you need to divide the changein the vertical axis by the change in the horizontal axis.
The answer depends on whether it is a distance-time graph, speed-time graph or something else.
In general, nowhere, because acceleration is the second derivative of distance with respect to time. However, in the special case of a constant acceleration, the acceleration will be twice the slope of the line, since distance = 0.5 * time squared.
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
Since distance is 1/2 at^2 where a is acceleration, it represents one half of the acceleration
That's unusual. I guess your teacher is trying to make you think a bit. It's a good mental exercise, though. You may recall that the units of acceleration are meters per second squared. That gives you a clue right there. And if you knew Calculus, you'd know that acceleration is the second derivative of distance, s, with respect to time, t: d2s/dt2. So, by now you're probably getting the feeling that the slope of a distance-time squared graph has something to do with acceleration. And you'd be right. Just as the slope of a velocity-time graph is acceleration, the slope of a distance-t2 graph is acceleration. Well, not quite. It's actually ONE HALF the acceleration.
distance-time graph
The slope of a distance-time graph represents speed.
There's no such thing as "the unit" for a graph. Each axis has a unit, and you've stated both of them in your question: One axis is marked in units of (time)2, and the other is marked in units of (distance)2 . We fail to comprehend the physical significance or applicability of such a graph, but if it somehow suits your needs, then knock yourself out. We note that the slope of the graph works out to units of (speed)2 , so maybe it has something to do with kinetic energy perhaps ? ?