In a distance-time graph, the slope or gradient of the line is equal to the speed of the object. The steeper the line (and the greater the gradient)
the faster the object is moving
.
What does a steeper line indicate on a motion graph?
The steeper the graph,
the greater the acceleration
. A horizontal line means the object is moving at a constant speed. A downward sloping line means the object is slowing down.
What does the slope of a distance vs time line graph tell you?
The slope of a distance-time graph
represents speed
. The steeper the slope is, the faster the speed. Average speed can be calculated from a distance-time graph as the change in distance divided by the corresponding change in time.
What does a steeper line indicate on the distance time graph?
Lines on the Graphs
The slope of a line (steepness) can
tell you speed
. If the slope is steep (more vertical) then the speed is fast. If the slope is flatter (more horizontal) then the speed is slow. If the line is completely flat or horizontal then the object has no speed or is stopped.
What does slope of time graph give?
One more thing to keep in mind is that the slope of a position graph at a given moment in time gives
you the instantaneous velocity at that moment in time
. The average slope between two points in time will give you the average velocity between those two points in time.
What does a straight line represent on a distance vs time graph?
A distance-time graph shows how far an object has travelled in a given time. … ‘Straight lines’ on a distance-time graph tell
us that the object is travelling at a constant speed
. Note that you can think of a stationary object (not moving) as travelling at a constant speed of 0 m/s.
How do you find the slope of a distance-time graph?
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-
coordinates (rise/run or slope).
What are the 4 types of speed-time graphs?
- Time graph for constant speed.
- Speed-Time graph with constant acceleration.
- Speed-time graph with increasing acceleration.
How do you describe a speed-time graph?
A horizontal line on a speed-
time graph represents a constant speed
. A sloping line on a speed-time graph represents an acceleration. The sloping line shows that the speed of the object is changing.
What will be the slope of a distance-time graph when the object is at rest?
In a distance-time graph, the slope of the graph is
zero
, the object is at rest or in motion & why?
What does a straight line graph indicates?
Straight line graph signifies that
the changes in the values of the quantities represented on the graph are proportional to each other
, e.g., in simple pendulum, the straight line graph means l is proportional to T
2
, or l/T
2
is constant. Slope of the straight line gives the value of the constant of proportionality.
What is slope of a position vs time graph?
The principle is that the slope of the line on a position-time graph
is equal to the velocity of the object
. If the object is moving with a velocity of +4 m/s, then the slope of the line will be +4 m/s. If the object is moving with a velocity of -8 m/s, then the slope of the line will be -8 m/s.
What does the slope of position-time graph for a uniform motion?
What does the slope of a position-time graph represent for uniform accelerated motion. … In the case of uniform accelerated motion slope of the position-time graph gives
the instantaneous velocity of the object
. Slope of the x-t graph at time t=0 represents the initial velocity v0 of the object.
What does the slope of acceleration time graph represent?
The slope of an acceleration graph represents
a quantity called the jerk
. The jerk is the rate of change of the acceleration.
What does a straight line on this graph tell you a curved line?
The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. …
If the velocity is constant, then the slope is constant
(i.e., a straight line). If the velocity is changing, then the slope is changing (i.e., a curved line).
