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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.
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What does the slope of the distance time graph represent?
The slope of a distance-time graph represents speed.
What quantity does the slope of a distance vs time squared graph represent?
Since distance is 1/2 at^2 where a is acceleration, it represents one half of the acceleration
What does the slope of distance-versus-time graph represent physically?
instantaneous magnitude of velocity
What does the slope of the curve on a distance v time graph represent?
The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)
What does the slope of a linen on a distance - time graph represent?
The speed. Also, if a positive slope represents the speed in one direction, the negative slope is the speed in the opposite direction.
