We are given the graph of a particle moving along the x-axis.
The position of the particle is on the y-axis and the time is on the x-axis.
We are asked to find the best estimate for the speed of the particle at time t = 6?
The speed of the particle is given by
[tex]s=\frac{x}{t}[/tex]
Where x is the distance and t is the time.
From the graph, at t = 6, the distance is approximately x = 20
[tex]s=\frac{20}{6}=\frac{10}{3}[/tex]
Therefore, the best estimate for the speed of the particle is 10/3
