Final answer:
The equation describing the particle's motion when its acceleration is given by a constant a is v(t) = u + at.
Step-by-step explanation:
The equation describing the particle's motion when its acceleration is given by a constant a is:
v(t) = u + at
Where:
- v(t) is the velocity of the particle at time t
- u is the initial velocity of the particle
- a is the constant acceleration of the particle
- t is the time
This equation represents the relationship between the particle's velocity, initial velocity, acceleration, and time. By plugging in the values of u and a, you can calculate the particle's velocity at any given time.