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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 ? ?

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Q: What is the unit for a time squared vs distance squared graph?
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Is acceleration the slope of a line on a distance time graph?

No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.


The slope of a line on a distance time graph is?

Equal to the acceleration of the object that is moving through distance in time. * * * * * No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed.


A straight line on a distance time graph represents what type of speed?

A straight line on a distance/time graph means that the speed is constant. In every unit of time the distance increases by the same amount.


What is the unit for distance on a graph?

The person creating the graph can choose any suitable unit.


What is the unit of a physical quantity which is represented by area under a velocity time graph?

the physical quantity is distance and unit is meters


What is acceleration measured in?

Acceleration is measured in (distance) per (unit of time) squared; for example, feet/second squared in the SI (metric) system the official unit is metres/second/second or metres/(second squared)


Measurements of acceleration are given in units of what?

Acceleration is the rate of change of the function of velocity per unit time. This means that the unit of acceleration is distance per unit time squared.


Does the speed-time graph show the distance covered by a body in unit time?

Not always. A proper speed-time graph will show the distance covered by a body in unit tme - which is how instantaneous speed is defined. The height of the graph at the point in time that is of interest, will give the distance covered in unit time - at that time. If the graph is not a straight line then the answer is given by the average value of the height of the graph over an interval going half-a-unit of time either side of the point of interest. However, speed-time graphs are often related to corresponding distance-time graphs. In such a case, the graph records the velocity of a body in the direction towards or away from the origin at various points in time. It takes no account whatsoever of any motion in a transverse direction. So the component of velocity in a transverse direction is lost. Thus, suppose O is the origin and I am at position P. If I move at right angles to OP, the speed-time graph will not show me moving at all.


What are the units of acceleration?

Acceleration is a change in velocity per unit of time. Velocity is distance (d) per unit of time (t). That makes acceleration distance per unit of time squared, or something like this:We have distance/time2, or d/t2Distance is commonly measured in meters, and time in seconds. This makes acceleration appear in meters per second per second, or meters per second squared, or m/sec2.m/s2meters per second squared


Why does a curve on a distanced graph indicate acceleration?

an increasing distance is traveled during each unit of time


What unit is used when calculating acceleration?

In the international system (SI), the unit is meters/second2. This unit has no special name. In other systems, any distance divided by a time squared can be used, or even a distance divided by two different time units, as in "this car accelerates to 80 km/hour in 15 seconds". Here you are dividing a distance (80 km) by a time unit (hour) and by different time unit (seconds). Of course, it is possible to convert this to meters per second squared.


If the slope of a line on a distance and time graph is 1 the speed of the object being plotted is what?

It is 1 unit of distance per 1 unit of time.