The object is accelerating
A line sloping upwards in a distance graph indicates that the object is moving away from the starting point, and the distance from that point is increasing over time. The steeper the slope, the faster the object is moving. If the line is straight, the speed is constant; if it curves, the speed may be changing.
That the object being studied is accelerating in the radial direction.
If you are analyzing speed with respect to time, then you are decelerating.
It means that as time goes on, the distance increases quickly.
The graph of y > - x is an area, firstly draw the line y = -x which is a line sloping diagonally upwards to the left at 45o and the area where y > -x is the area above the line
A line sloping upwards in a distance graph indicates that the object is moving away from the starting point, and the distance from that point is increasing over time. The steeper the slope, the faster the object is moving. If the line is straight, the speed is constant; if it curves, the speed may be changing.
That the object being studied is accelerating in the radial direction.
A straight line sloping upwards on a position-time graph indicates that the object is moving with a constant positive velocity. The slope of the line represents the velocity of the object.
If you are analyzing speed with respect to time, then you are decelerating.
It means that as time goes on, the distance increases quickly.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
The graph of y > - x is an area, firstly draw the line y = -x which is a line sloping diagonally upwards to the left at 45o and the area where y > -x is the area above the line
On a graph of acceleration vs. time, during deceleration the line is below zero. On a graph of speed vs. time, during deceleration the line has a negative slope (sloping downward from left to right).
An upward sloping straight line.
A position vs. time graph showing positive acceleration would be a straight line sloping upwards from left to right.
When there is a curved line going upwards on a graph it means the distance is increasing
The graph of increasing acceleration would be a straight line sloping upwards when plotted against time. This indicates that the object's velocity is increasing at a constant rate.