How to find slope in distance-time graph?
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Answers
You can use the steepness, or slope, of a line in a distance-time graph to determine the speed of an object if speed is constant. The slope of the line is calculated by dividing the change in distance by the change in time for that time interval.
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Answer:
Distance-Time Graphs
A convenient way to show the motion of an object is by using a graph
that plots the distance the object has traveled against time. This type
of graph, called a distance-time graph, shows how speed relates to
distance and time. You can use a distance-time graph to see how
both distance and speed change with time.
The distance-time graph on page 21 tracks the changing motion
of a zebra. At first the zebra looks for a spot to graze. Its meal is
interrupted by a lion, and the zebra starts running to escape.
In a distance-time graph, time is on the horizontal axis, or x-axis,
and distance is on the vertical axis, or y-axis.
As an object moves, the distance it travels increases with time.
This can be seen as a climbing, or rising, line on the graph.
A flat, or horizontal, line shows an interval of time where the
speed is zero meters per second.
Steeper lines show intervals where the speed is greater than
intervals with less steep lines.
You can use the steepness, or slope, of a line in a distance-time
graph to determine the speed of an object if speed is constant. The
slope of the line is calculated by dividing the change in distance by the
change in time for that time interval.