Math and Arithmetic

# How would a graph of negative and positive acceleration differ?

###### Wiki User

###### January 22, 2011 4:46PM

This depends on what the graph represents. If it is a graph of velocity on the vertical and time on the horizontal, then if acceleration is at a constant rate, the graph will be a straight line with positive slope (pointing 'up'). If acceleration stops, then the graph will be a horizontal line (zero acceleration or deceleration). If it is deceleration (negative acceleration), then the graph will have negative slope (pointing down).

## Related Questions

###### Asked in Physics

### What type of motion is occurring when the slope of a velocity vs time graph is changing?

A motion described as a changing, positive velocity results in a
sloped line when plotted as a velocity-time graph.
If the acceleration is zero, then the slope is zero (i.e., a
horizontal line).
If the acceleration is positive, then the slope is positive
(i.e., an upward sloping line).
If the acceleration is negative, then the slope is negative
(i.e., a downward sloping line).

###### Asked in Math and Arithmetic, Physics, Kinematics

### If the acceleration is increasing with time will the velocity graph be a straight line concave up or concave down?

Concave up.
"Acceleration is increasing with time" tells us that the
derivative of acceleration is positive. Since acceleration is the
derivative of velocity, this means that the second derivative of
velocity is positive. By definition, having a non-negative second
derivative means that velocity is concave up.

###### Asked in Physics, Kinematics

### What is the graph for positive acceleration?

If the x-axis is time and the y-axis is location, the graph will
be concave upwards because with positive acceleration, the second
derivative of the graph is positive.
Another way to put it is that for x-axis as time and the y-axis
as location, as you move in the positive x direction, the rate at
which y goes up will increase - with the slope becoming more and
more vertical.

###### Asked in Math and Arithmetic, Statistics, Algebra

### What shows a correlation which may be positive or negative between two sets of data?

I believe you are asking how to identify a positive or negative
correlation between two variables, for which you have data. I'll
call these variables x and y. Of course, you can always calculate
the correlation coefficient, but you can see the correlation from a
graph.
An x-y graph that shows a positive trend (slope positive)
indicates a positive correlation.
An x-y graph that shows a negative trend (slope negative)
indicates a negative correlation.

###### Asked in Physics

### What is the difference between object moves wint uniform acceleration and object moves with no acceleration?

An object moving with uniform acceleration has a uniform change
in velocity over time, and its velocity-time graph will be a
straight line with either a positive or negative slope.
An object moving with no acceleration has constant velocity, and
its velocity-time graph will be a straight, horizontal line with
zero slope.
Refer to the related link for illustrations.