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
where
is the change in speed
is the change in time
However, acceleration is defined as
where 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:
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