Question

What does the slope on a velocity vs time graph tell us? (just type the word)

Answer 1

ANSWER

Acceleration

EXPLANATION

Let's suppose the graph is linear so that the slope is constant. The graph would be,

The slope would be calculated as,

$slope=\frac{velocity}{time}$

If we put some units, for example, m/s for velocity and s for time, the units of the slope would be,

$\lbrack slope\rbrack=\frac{\lbrack m/s\rbrack}{\lbrack s\rbrack}=\lbrack m/s^2\rbrack$

These are units of acceleration.

Hence, the slope on a velocity vs time graph tells us the acceleration.