Question

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

Answer 1

Acceleration

Step-by-step 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=(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=(\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.