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How Does the Slope Change Car's Speed?

Updated: 9/25/2023
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Q: How Does the Slope Change Car's Speed?
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What is the equatoin for acceleration?

the slope of a speed-time graph is acceleration this slope is change in speed divided by change in time *Twinky~


Change in speed?

change in speed is acceleration. change in speed is the slope of the speed versus time graph, or the derivative of such.


Define Change in speed?

change in speed is acceleration. change in speed is the slope of the speed versus time graph, or the derivative of such.


What does a change in the slope of a motion graph indicate?

A change in the slope of a location-time graph of an object indicates a change in the radial component of its speed.


What can you say about the motion of an object if its speed-time graph is a straight line parallel to the time axis?

If the graph if speed vs. time is a straight line parallel to the time axis, then the speed is not changing.Acceleration is the slope of the line on such a graph. Slope is (speed change) divided by (time for the change).Since the speed doesn't change over any period of time, the slope of the line is zero.The object's speed is constant. Its acceleration is zero.


What does the slope of a speed vs time graph means?

The change in speed in relation to time, or acceleration


Why does a constant speed have a slope of 0?

Because the slope measures the rate of change. The word "CONSTANT" means no change so there is no rate of change. Having said that, it will not have a slope of zero if you are plotting displacement against time.


What does a steep slope on a displacement vs time graph indicate?

The slope of the function on a displacement vs. time graph is (change in displacement) divided by (change in time) which is just the definition of speed. A relatively steep slope indicates a relatively high speed.


Is acceleration the slope of a line on a distance time graph?

No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.


What does straight line on a distance time graph tell you about the speed of an object?

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.


What is the speed of a slope?

A slope does not have any speed.


Can a rate change and the slope of the line be different quantities?

The instantaneous rate change of the variable y with respect to x must be the slope of the line at the point represented by that instant. However, the rate of change of x, with respect to y will be different [it will be the x/y slope, not the y/x slope]. It will be the reciprocal of the slope of the line. Also, if you have a time-distance graph the slope is the rate of chage of distance, ie speed. But, there is also the rate of change of speed - the acceleration - which is not DIRECTLY related to the slope. It is the rate at which the slope changes! So the answer, in normal circumstances, is no: they are the same. But you can define situations where they can be different.