Since distance is 1/2 at^2 where a is acceleration, it represents one half of the acceleration
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The slope of a distance-time graph represents speed.
The curved line on a time vs. distance graph represents that the object is accelerating.
the physical quantity is distance and unit is meters
You could try a speed-time graph, or a distance-time graph.
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.
It represent the distance covered is 40 metre.
The slope of a distance-time graph represents speed.
The gradient (slope) of the line on 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
speed
speed
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 curved line on a time vs. distance graph represents that the object is accelerating.
The graph of distance vs. time squared will usually be a curve rather than a straight line. This curve represents a non-uniform acceleration or changing velocity over time, as opposed to constant velocity where the graph would be a straight line. The shape of the curve will depend on the specific relationship between distance and time squared in the given scenario.
the physical quantity is distance and unit is meters
You could try a speed-time graph, or a distance-time graph.
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.