This graph shows the velocity of particles a and b through time. the two lines intersect each other at point o. what is the acceleration of particles a and particle b at point o?

  -2 m/s^2 for particle A and -0.50 m/s^2 for particle B.

Justification:

The graph for this question is attached to this answer.

Accelaration is the rate of change of velocity per time.

Particles A and B have different acceleration as their lines velocitty vs time are different.

The straight lines show that the motions of both particles are uniformly accelerated.

The acceleration of each particle will be the slope of its specific line.

For particle A, the slope is:

acceleration = slope = Δv / Δt = [0 - 2] m / [1 - 0] s = - 2 m/s

For particle B, the slope is:

acceleration = slope = Δv / Δt = [0 - 1]m / [2 - 0]s = - 0.5 m/s

Indoraptor for sure