Answer:
False
Explanation:
Acceleration is defined as the rate of change of velocity:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
On a speed-time graph, the slope of the curve gives the magnitude of the acceleration. In fact, the slope of the curve in a speed- time graph is
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
where
[tex]\Delta y[/tex] is the increment in the y-variable, so it corresponds to the change in speed
[tex]\Delta x[/tex] is the increment in the x-variable, so it corresponds to the change in time
so the slope corresponds to
[tex]m=\frac{\Delta v}{\Delta t}[/tex]
which is the magnitude of the velocity. However, in order to define acceleration we need an additional piece of information: the direction. Since speed is a scalar, direction of motion is not provided, so we cannot fully define acceleration from a speed-time graph.
