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

The radiation of the fire causes the saucepan to heat up. the conduction of the saucepan then to distribute the heat over the saucepan and to give heat to the water. the convection of the water distributing the heat within the water, till all the water is boiling

    m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| =  √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| =  √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| =  14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s