Question

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

Answer 1

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

Answer 2

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

Step-by-step explanation:

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

`a=(\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.