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What does the slope of the curve on a velocity time graph represent?
The rate of Change in acceleration.
What do the zeros of a polynomial function represent on a graph?
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
What do the peaks of the graph represent?
They represent local maxima: points where small changes in the x-variable, in either direction, result in reductions in the y-variable.
What is calculus and what does it have to do with?
Calculus is a branch of mathematics which came from the thoughts of many different individuals. For example, the Greek scholar Archimedes (287-212 B.C.) calculated the areas and volumes of complex shapes. Isaac Newton further developed the notion of calculus. There are two branches of calculus which are: differential calculus and integral calculus. The former seeks to describe the magnitude of the instantaneous rate of change of a graph, this is called the derivative. For example: the derivative of a position vs. time graph is a velocity vs. time graph, this is because the rate of change of position is velocity. The latter seeks to describe the area covered by a graph and is called the integral. For example: the integral of a velocity vs. time graph is the total displacement. Calculus is useful because the world is rarely static; it is a dynamic and complex place. Calculus is used to model real-world situations, or to extrapolate the change of variables.
What would a graph look like Kelvin vs celsius?
Taking the x-axis to represent degrees C and the y-axis for K, it would be a straight line, parallel to y = x and with intercept (0, -273.15). The graph would not cross the y-axis.
Area under the velocity time graph line is 40 M. What physical quantity does this area represent?
It represent the distance covered is 40 metre.
What physical property does the slope of a velocity-time graph represent?
AnswerWhen the mass of a material is plotted against volume, the slope of the line is the density of the material.
Where must the average velocity for an interval be plotted on a velocity-time graph to represent an instantaneous velocity?
The average velocity for an interval must be plotted at the middle of the time interval to represent an instantaneous velocity on a velocity-time graph.
What does the slope of a curve represent on a velocity-versus-time graph represent?
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.)
What does a slope of a time graph represent?
The slope of a velocity-time graph represents acceleration.
What does the slopeof the lineon a distances time graph represent?
Velocity.
What does area of acceleration time graph represent?
change in velocity
If the velocity is constant describe the slope of the graph on a position vs. time graph.?
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
What does slope of a speed time graph represent?
The slope of a velocity-time graph represents acceleration.
Does the slope of a position time graph represent average velocity or rate of change of velocity?
The slope of a position-time graph represents the average velocity of an object. It does not represent the rate of change of velocity, which would be represented by the slope of a velocity-time graph.
What does the y intercept in a velocity vs time graph represent?
The velocity at the starting point (when t = 0).
What does the slope of the curve on a velocity time graph represent?
The rate of Change in acceleration.
