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The answer depends on what is plotted on the graph and what is happening with the acceleration then.
It looks pretty awesome I tell you what
curve
That kind of depends on what is being graphed. -- On a graph of acceleration vs time, the graph is a straight line that lays right on top of the x-axis, because the acceleration is a constant zero. -- On a graph of speed vs time, constant speed is a horizontal line, parallel to the x-axis. -- On a graph of distance vs time, constant speed is a straight line with a positive slope; that is, it rises as it progresses toward the right.
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
The answer depends on what is plotted on the graph and what is happening with the acceleration then.
It looks pretty awesome I tell you what
If the constant acceleration is positive, the graph would be an exponential (x2) graph. If there is constant acceleration, then velocity is always increasing, making the position change at an ever increasing rate.
curve
That kind of depends on what is being graphed. -- On a graph of acceleration vs time, the graph is a straight line that lays right on top of the x-axis, because the acceleration is a constant zero. -- On a graph of speed vs time, constant speed is a horizontal line, parallel to the x-axis. -- On a graph of distance vs time, constant speed is a straight line with a positive slope; that is, it rises as it progresses toward the right.
Straight line
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
The answer depends on whether it is a distance-time graph, speed-time graph or something else.
Straight line
At constant speed, the distance/time graph is a straight line, whose slope is equal to the speed.
The slope of a distance time graph is a measure of the rate of change in the distance of the object from a fixed reference point along the radial direction. If there were no acceleration in that direction then the radial velocity would be the same so that the graph would be a straight line. However, a curve indicates not only the the distance is changing with time, but that the rate of change is also changing. That is, the radial velocity is changing and that is indicative of radial acceleration.The word "radial" appear many times in the above paragraph. This is to emphasise that distance time graphs look only at the motion of an object in the direction towards or away from the reference point. Any motion is a transverse direction is ignored. Thus, a line with a constant gradient (slope) does not indicate that there is no acceleration but that any acceleration is in the direction at right angles to the reference direction.
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