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What does the slope of the distance time graph represent?
The slope of a distance-time graph represents speed.
What does a curved line represent on a time vs distance graph?
The curved line on a time vs. distance graph represents that the object is accelerating.
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
How can graphs be used to represent motion?
You could try a speed-time graph, or a distance-time graph.
What does the slope of a distance vs time squared graph represent?
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.
