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Q: What does a curved line on a distance vs time graph tell you?

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The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.

The gradient of a distance-time graph gives the object's speed.

The slope of the line of a distance versus time graph is the velocity of the object. If this is a constant, in other words the graph is a straight line, the object is not changing its velocity and so is not accelerating. If the object is accelerating, the velocity of the object will be changing, thus the graph will not be a straight line, but a curve - the amount of curvature (and direction) tells you how much the object is accelerating (and in what direction - velocity and acceleration are vector quantities with both magnitude and direction).

What dose a line graph tell you about the relationship between the variables in an experiment

Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.

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It tells you that the velocity of the body is not constant. There is acceleration or deceleration.

velocity

The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.

The gradient of a distance-time graph gives the object's speed.

The slope of the line on distance vs time is the same as the change of distance with respect to time...which is called "speed".

Slope at any point is speed. if slope is constant (staight line)then speed is constant; if curved up speed is accelerating. If curved down it is decelerating

The slope of the line of a distance versus time graph is the velocity of the object. If this is a constant, in other words the graph is a straight line, the object is not changing its velocity and so is not accelerating. If the object is accelerating, the velocity of the object will be changing, thus the graph will not be a straight line, but a curve - the amount of curvature (and direction) tells you how much the object is accelerating (and in what direction - velocity and acceleration are vector quantities with both magnitude and direction).

What dose a line graph tell you about the relationship between the variables in an experiment

The slope of a line tells a person what the rate of change is for a certain amount of time. For instance, on a graph where distance is the X axis and time is the Y axis, the slope will tell the velocity, literally, distance/time.

the rate of change on the line.

It tells you that the speed of the object is not changing. The speed is represented by the slope in a distance vs. time graph, if slope doesn't change, speed doesn't.

it is impossible to tell the slope of a line graph without proper points to evaluate from.

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