Q: What does the slope of a distance versus time represent?

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instantaneous magnitude of velocity

The slope of a distance-time graph represents speed.

The rate of change in accelleration.

the slope would be speed.

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)

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speed

instantaneous magnitude of velocity

The slope of a distance versus time graph represents the speed or velocity of an object. A steeper slope indicates a higher speed, while a gentler slope indicates a slower speed. If the slope is negative, it means the object is moving in the opposite direction.

The slope of a distance-time graph represents speed.

A velocity-time graph is commonly used to represent acceleration. The slope of the graph at any point represents the acceleration at that specific moment. A steeper slope indicates a greater acceleration.

The rate of change in accelleration.

Yes, it can be. It is indicated by the slope of the distance increases as time increases.

speed

the slope would be speed.

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)

the slope show the velocity of the object which show its direction and magnitude.

True. The steepness of a distance versus time graph's slope represents the object's speed. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed.