gradient = \(\frac{change~in~y}{change~in~x}\) = \( \frac{change~in~distance}{change~in~time} \) = \(\frac{change~in~metres}{change~in~seconds} \) = m/s. The gradient ...

Distance-time graphs show distance on the vertical axis and time on the horizontal axis. The gradient of a distance-time graph represents speed because gradient = \( \frac{\text{change in y} ...