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

The area under a speed-time graph represents the distance travelled. The object is accelerating at \(\frac{8}{4} = 2~m/s^2\). It travels \(\frac{1}{2} \times 4 \times 8 = 16~m\). Between 4 and 7 ...