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If a function has a constant double time what type of function does this represent?
If a function has a constant doubling time, it represents an exponential growth function. This means that the quantity increases by a fixed percentage over equal intervals of time, leading to rapid growth as time progresses. Mathematically, it can be expressed in the form ( f(t) = f_0 \cdot 2^{(t/T)} ), where ( f_0 ) is the initial amount, ( T ) is the doubling time, and ( t ) is time. Examples include populations, investments, and certain biological processes.
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What does a flat line represent on a speed time graph?
Motion at a constant speed - no acceleration or deceleration.
Is distance a function of time?
Definitely. Distance is directly proportional to time, and the proportionality constant is called "speed".
Is tau a constant?
Yes, (greek letter 'tau') is used to represent the mathmatical constant exactly equal to 2π (2pi). is also a time constant sometimes referred to as the 'RC time constant'.
What does a line with a constant slope or slant represent on a motion graph?
It can be more than one thing such as time
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.)
An exponential growth function represents a quantity that has a constant doubling time?
True
What does horizontal line represent on graph of distance vs time?
constant speed
What does a horizontal line on a speed time graph represent?
That the object is moving at a constant speed
Is an exponential decay function represent a quantity that has a constant halving time?
A quantity is said to be subject to exponential decay if it decreases at a rate proportional to its value. The time required for the decaying quantity to fall to one half of its initial value.Radioactive decay is a good example where the half life is constant over the entire decay time.In non-exponential decay, half life is not constant.
Does an exponential growth function represents a quantity that has a constant doubling time?
False
What does a flat line represent on a speed time graph?
Motion at a constant speed - no acceleration or deceleration.
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.
Is distance a function of time?
Definitely. Distance is directly proportional to time, and the proportionality constant is called "speed".
Is tau a constant?
Yes, (greek letter 'tau') is used to represent the mathmatical constant exactly equal to 2π (2pi). is also a time constant sometimes referred to as the 'RC time constant'.
What does a line with a constant slope or slant represent on a motion graph?
It can be more than one thing such as time
What is function of capacitor in 555 IC?
the capacitor and its associated resistor set the time constant.
Can speed be written as a function of time?
Yes, speed can be written as a function of time. The function would describe how the speed of an object changes over time. It can vary depending on factors such as acceleration, deceleration, and constant speed.
