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Rate is considered distance because if your rate is 5mph, your going 5 miles in 1 hour.
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Is it true that a straight diagonal line on a distance versus time graph indicates a constant speed?
Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.
How is a distance time graph be used?
To find the average speed or rate of something.(:
Does a straight diagonal line on a distance versus time graph indicate constant speed?
Yes. Speed is the rate at which distance changes over time. In calculus terms v = dx/dt, or the slope of the distance vs. time graph. If the slope of the distance vs. time graph is a straight line, the speed is constant.
What is a differential calculus?
To a great extent, differential calculus is concerned with the slopes of curves - or with things that can be graphically represented as slopes, such as speed (the speed graph is a curve in a distance vs. time graph).
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.
How can you get speed and distance covered by a body from distance time graph?
Distance you read off directly from the graph. Speed is the rate of increase of distance, so it is the slope (gradient) of the graph.
Is it true that a straight diagonal line on a distance versus time graph indicates a constant speed?
Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.
How is a distance time graph be used?
To find the average speed or rate of something.(:
Does a straight diagonal line on a distance versus time graph indicate constant speed?
Yes. Speed is the rate at which distance changes over time. In calculus terms v = dx/dt, or the slope of the distance vs. time graph. If the slope of the distance vs. time graph is a straight line, the speed is constant.
What is a differential calculus?
To a great extent, differential calculus is concerned with the slopes of curves - or with things that can be graphically represented as slopes, such as speed (the speed graph is a curve in a distance vs. time graph).
What is a time distance graph?
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
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.
How are time and distance related for an object moving at a constant speed?
Distance = rate x time. Rate as in speed.
Speed is the rate of change of position expressed as what?
Speed is the rate of change in what?
How does the distance versus time graph look for an object that is stopped?
You can use the steepness, or slope, of a line in a distance-time graph to determine the speed of an object if speed is constant. The slope of the line is calculated by dividing the change in distance by the change in time for that time interval.
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.
The distance he travled after t hours is represented by d equals 7.25t at what rate of speed is stilton traveling?
He is traveling at approximately 7.25 units per hour.
