Determine when a particle is increasing

The video tutorial explains the relationship between velocity and acceleration, emphasizing that when both have the same sign, speed increases, and when they have opposite signs, speed decreases. It demonstrates how to calculate the derivatives of velocity and acceleration functions and analyzes the motion of a particle at t=3 seconds. The tutorial includes graphing the acceleration function and concludes that the particle's speed is increasing.

Explain the significance of the signs of V sub three and A sub three in determining the speed of the particle.

What does it mean when the speed of the particle is increasing, based on the relationship between velocity and acceleration?