False: a line on a speed-time graph with a steep slope indicates a greater acceleration
Explanation:
In a speed-time graph, we have:
- The time represented on the x-axis
- The speed represented on the y-axis
This means that the slope of this graph is
[tex]m=\frac{\Delta y}{\Delta x}=\frac{\Delta v}{\Delta t}[/tex]
where
[tex]\Delta v[/tex] is the change in speed
[tex]\Delta t[/tex] is the change in time
However, acceleration is defined as
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
where [tex]\Delta v[/tex] is the change in velocity. If we consider a motion in a straight line, the change in velocity corresponds to the change in speed: therefore, the slope of a speed-time graph corresponds (for a straight line motion) to the acceleration.
Therefore, the steeper the slope, the greater the acceleration of the body.
Learn more about speed:
brainly.com/question/8893949
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