Respuesta :

Answer:

(4) The particle travels with a constant velocity until t0 and then comes to rest.

Explanation:

Uniform rectilinear motion is defined as the motion of a particle in a straight line with constant velocity, that is, there is no change in velocity over time.

And this can be determined by means of the following equation:

[tex]x=x_{o}+v*(t-t_{o})[/tex]

where:

x = final point [m]

xo = initial point [m]

v = velocity (slope) [m/s]

t = final time [s]

to = initial time [s]

So the slope in the graph gives the constant velocity

[tex]v=\frac{x-x_{o}}{t-t_{o}}[/tex]

Therefore, after the time to there is no displacement, that is the particle comes to rest.