Question

The *blank* of the line on a velocity vs. time graph represents acceleration

Answer 1

Answer:

the slope of the line on a velocity vs. time graph represents acceleration

Explanation:

Acceleration is equal to the ratio between the change in velocity of an object and the time taken:

$a=\frac{\Delta v}{\Delta t}$

On a velocity-time graph, this ratio corresponds to the slope of the line. In fact, $\Delta v$ corresponds to the increment in the y-value (the velocity), while $\Delta t$ corresponds to the increment in the x-value (the time), therefore their ratio corresponds to the definition of slope of the line.

Answer 2

The slope of the line on a velocity vs. time graph represents acceleration