Acceleration can be found using a speed-time graph. select the best answer from the choices provided t f

False

Explanation:

Acceleration is defined as the rate of change of velocity:

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

where

is the increment in the y-variable, so it corresponds to the change in speed

is the increment in the x-variable, so it corresponds to the change in time

so the slope corresponds to

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.

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