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 ? ?
the physical quantity is distance and unit is meters
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)
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
It is 1 unit of distance per 1 unit of time.
Speed is measured in units of (Distance) over (Time). So Speed divided by Time would be equivalent to (Distance) over (Time squared), which is the unit of measurement for Acceleration.
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.
Acceleration is the rate of change of velocity over time. Since velocity is distance over time, acceleration becomes distance over time squared. This is why time enters twice in the unit of acceleration as distance per time squared.
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 a constant speed.
The person creating the graph can choose any suitable unit.
Acceleration is typically measured in meters per second squared (m/s^2). This unit represents the change in velocity per unit time.
the physical quantity is distance and unit is meters
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)
Acceleration measures the rate of change of velocity over time. The squared seconds unit is used because acceleration is the change in velocity per unit time, so it is expressed as distance per time squared. This allows us to quantify how quickly the velocity of an object is changing over time.
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.
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.
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