0
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Devin
ViviAdd your answer:
Earn +20 pts
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.
