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Yes, by definition, Acceleration is the derivative of velocity. From Calculus, we know, the derivative of any constant function is simply 0. Therefore, any velocity time graph containing a constant velocity function will have an acceleration function = 0.
c'=0 or c d/dx=0
also, there is a very simple, and nice progression to things in the field of Kinematics.
where given a function, whether it be position, velocity, or acceleration, you can find the other through calculus. the progression for integration goes as follows, jolt (the feeling you get when acceleration changes), acceleration, velocity, position. And the reverse for derivatives. Having a velocity function of something like 55mph, think of it as driving on the freeway, absent of outside forces of friction, air resistance and hills, you never have to accelerate (positively, or negatively) to maintain speed, and the math backs that up. 55 is constant, and the derivative is 0. now if you had a velocity function such as 2x^2 + 5, also known as a parabolic function, you would take the derivative and get an acceleration of 4x, and a jolt of 4, and if you integrate to get position, you would have 2/3x^3+5x.
Its all about the math.
What else can I help you with?
What does the graph of acceleration vs. time look for something going constant velocity?
a horizontal line
Is a horizontal line on the velocity vs. time graph indicates a constant positive acceleration ture or false?
False. A horizontal line on a velocity vs. time graph indicates constant velocity, not constant acceleration. Positive acceleration would be represented by a diagonal line sloping upwards on a velocity vs. time graph.
What does constant acceleration of a velocity time graph look like?
A constant acceleration on a velocity-time graph would appear as a straight line with a non-zero slope. The slope of the line represents the acceleration, with a steeper slope indicating a greater acceleration.
What would be the acceleration of a body if its velocity time graph is a line parallel to the time axis?
If the velocity-time graph is a straight line parallel to the time axis, it means the velocity is constant. The acceleration would be 0 because there is no change in velocity over time.
What is slope of velocity v time graph?
The slope of a velocity vs. time graph represents acceleration. A positive slope indicates acceleration in the positive direction, a negative slope indicates acceleration in the negative direction, and a horizontal line indicates constant velocity.
Does the horizontal line on the velocity vs time graph indicate a constant and positive acceleration?
Ahorizontal line on a velocity vs time graph does not indicate any acceleration because there is no slope. Speed remains constant.
What does the graph of acceleration vs. time look for something going constant velocity?
a horizontal line
Is a horizontal line on the velocity vs. time graph indicates a constant positive acceleration ture or false?
False. A horizontal line on a velocity vs. time graph indicates constant velocity, not constant acceleration. Positive acceleration would be represented by a diagonal line sloping upwards on a velocity vs. time graph.
What does constant acceleration of a velocity time graph look like?
A constant acceleration on a velocity-time graph would appear as a straight line with a non-zero slope. The slope of the line represents the acceleration, with a steeper slope indicating a greater acceleration.
What of the he graph of acceleration vs time for something going a constant positive velocity has characteristic?
The acceleration vs. time graph for something moving at a constant positive velocity will be a horizontal line at zero acceleration. This is because acceleration is the rate of change of velocity, and if the velocity is not changing (constant), then the acceleration is zero.
The graph of acceleration vs time for something going a constant positive velocity has what kind of characteristics?
The graph of acceleration vs time for something going at a constant positive velocity would be a horizontal line at zero on the acceleration axis. This is because there is no change in velocity, so the acceleration is constant and equal to zero.
What would be the acceleration of a body if its velocity time graph is a line parallel to the time axis?
If the velocity-time graph is a straight line parallel to the time axis, it means the velocity is constant. The acceleration would be 0 because there is no change in velocity over time.
The slope of velocity time graph is changing what does it indicate?
A changing slope on a velocity-time graph indicates that the object's acceleration is changing. If the slope is increasing, the acceleration is positive, and if the slope is decreasing, the acceleration is negative. A flat slope indicates constant velocity.
What is slope of velocity v time graph?
The slope of a velocity vs. time graph represents acceleration. A positive slope indicates acceleration in the positive direction, a negative slope indicates acceleration in the negative direction, and a horizontal line indicates constant velocity.
If an objects velocity time graph is a straight line parallel to the taxis what can you conclude about the objects acceleration?
If an object's velocity-time graph is a straight line parallel to the time axis, then the object's acceleration is zero. This means that the object is moving at a constant velocity.
What is a graph with time plotted on the x axis and distance plotted on the y axis called?
It could be a velocity graph or an acceleration graph. If the plot is a straight line it is constant velocity. If the plot is a curve it is acceleration.
What does an upward sloping diagonal line mean in a velocity vs time graph?
An upward sloping diagonal line on a velocity vs. time graph represents constant acceleration. The steeper the slope, the greater the acceleration.
