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(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:

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

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

the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.