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If you are in a real world situation there are a lot of factors to consider.

In theoretical situation, ignoring friction and air drag etc, if a roller with mass m rolls down a slope to a horizontal surface it will continue rolling on the horizontal surface indefinitely.

The velocity attained will be affected by the distribution of mass in the roller.

If most of the mass is concentrated to a small volume that is axially located then the velocity will be different from if the mass is concentrated to the outer perimeter of the roller. In the latter case of peripheral mass concentration the acceleration will be slower but more energy will be stored as rotational inertia and in a real world situation the roller will continue rolling further.

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Q: Does mass effect the distance of objects rolling down a slope?
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Does the mass effect the time taken for objects rolling down a slope?

Galileo dropped two different sized objects from the tower of Pisa and they both hit the ground at the same time. The object was to prove that the size/weight (i.e. mass) of the object would not affect the rate of fall.


What does the slop of a distance vs. time graph tell you?

The slope of a distance vs. time graph is a measure of the rate of change of the distance over time. It tells you the speed at which the distance is changing. If the slope is positive it means the distance is increasing with time. If the slope is negative it means the distance is decreasing with time. If the slope is zero it means the distance is not changing with time. Positive slope: distance is increasing with time. Negative slope: distance is decreasing with time. Zero slope: distance is not changing with time.The slope of the graph can be used to calculate the average speed of an object over a certain period of time. By taking the change in distance and dividing it by the change in time the average speed can be calculated.


What does the slope of the distance time graph represent?

The slope of a distance-time graph represents speed.


Why is it not possible for any part of the distance-time graph of a body to be a straight-line segment parallel to the distance axis?

BecAuse that would mean it is going an infinite speed. The slope of a distance time graph is the objects velocity or speed. If there is a line parallel to the distance axis, there is a vertical line. The slope of a vertical line is infinite. It is not possible to go an infinite speed.


How does the slope of a distance vs time graph change when there is acceleration?

The slope increases.