In velocity-time graphs, the slope shows us how fast something is speeding up or slowing down.

• What is Slope?:
  The slope, which tells us about acceleration (how quickly speed changes), can be found using this simple formula:
  $a = \frac{\Delta v}{\Delta t}$
  Here, $\Delta v$ is the change in speed and $\Delta t$ is the change in time.

• Understanding the Slope:

  • A positive slope means the object is speeding up.
  • A negative slope means it's slowing down.
  • A zero slope means the speed is constant, which means there’s no speeding up or slowing down.

• Example:
  If an object's speed goes from 10 m/s to 30 m/s in 5 seconds, we can find the acceleration like this:
  $a = \frac{30\, \text{m/s} - 10\, \text{m/s}}{5\, \text{s}} = 4\, \text{m/s}^2$
  This tells us the object is accelerating at a rate of $4\, \text{m/s}^2$.