Distance moved by a freely falling body related to time of fall

The value of the constant here is equal to t g and we can best illustrate the relationship between distance fallen and time taken by plotting a graph of x against t2. We should expect to obtain a straight line through the origin, the gradient of which is ~ (Fig. 3.8). Hence,

Note that this method of illustrating the relationship applies not only to falling
bodies but also to any body which is moving with a uniform acceleration.