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The slope of a distance time graph is a measure of the rate of change in the distance of the object from a fixed reference point along the radial direction. If there were no acceleration in that direction then the radial velocity would be the same so that the graph would be a straight line. However, a curve indicates not only the the distance is changing with time, but that the rate of change is also changing. That is, the radial velocity is changing and that is indicative of radial acceleration.
The word "radial" appear many times in the above paragraph. This is to emphasise that distance time graphs look only at the motion of an object in the direction towards or away from the reference point. Any motion is a transverse direction is ignored. Thus, a line with a constant gradient (slope) does not indicate that there is no acceleration but that any acceleration is in the direction at right angles to the reference direction.
What else can I help you with?
What does the slope of a tangent to the curve of a velocity-time graph measure?
the slope of a tangent to the curve of a V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time
On a velocity vs time graph shows what about an objects motion?
A velocity vs. time graph shows how the velocity of an object changes with respect to time. The slope of the graph represents the object's acceleration, while the area under the curve represents the distance traveled by the object. Flat sections of the graph indicate constant velocity, while curved sections show changes in acceleration.
What does a negative acceleration position-time graph indicate about the motion of an object?
A negative acceleration position-time graph indicates that the object is slowing down or decelerating.
What does the slope of the tangent to the curve on a velocity-time graph measure?
The slope of the tangent to the curve on a velocity-time graph represents the acceleration of an object. Positive slope indicates acceleration in the positive direction, negative slope indicates acceleration in the negative direction, and zero slope indicates constant velocity.
How Would The Acceleration vs Time Graph Look?
The acceleration vs. time graph would show how an object's acceleration changes over time. A horizontal line at zero acceleration would indicate constant velocity. A straight line with a positive or negative slope would represent constant acceleration. A curved line would indicate changing acceleration.
Why does a curve on a distanced graph indicate acceleration?
an increasing distance is traveled during each unit of time
What is velocity-time curve?
The graph of velocity-time is the acceleration.
Why is the area under the curve for the force graph equal to the impulse?
It is not, if it is a graph of force against acceleration.
How can you find the retardation of a curve in a speed time graph?
Calculate the gradient of the curve which will give the acceleration. Change the sign of the answer to convert acceleration into retardation.
When the acceleration is not in a straight line on a graph what does this indicate?
That the force that causes the acceleration is not constant.
How would one determine Acceleration from a V-t Graph?
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
What does the slope of a tangent to the curve of a velocity-time graph measure?
the slope of a tangent to the curve of a V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time
What does the slope of the curve on a velocity time graph represent?
The rate of Change in acceleration.
What does a steep curve on a line graph indicate?
What does a steep looks like
On a velocity vs time graph shows what about an objects motion?
A velocity vs. time graph shows how the velocity of an object changes with respect to time. The slope of the graph represents the object's acceleration, while the area under the curve represents the distance traveled by the object. Flat sections of the graph indicate constant velocity, while curved sections show changes in acceleration.
What does slope of a speed time graph indicate?
it indicates the acceleration of the particle
What does the slope of an acceleration-position graph indicate?
Meters/seconds squared
