Final answer:
The rate of change of velocity is known as acceleration. Displacement and velocity at any time can be calculated for a particle moving in a straight line with constant acceleration using specific kinematic equations. Graphs of velocity versus time under constant acceleration will appear as straight lines indicating a linear relationship.
Step-by-step explanation:
In the context of physics, the rate of change of velocity is called acceleration. When a particle moves in a straight line with initial velocity and constant acceleration, its displacement and velocity at any time t can be found using kinematic equations. For instance, if a particle has an initial velocity of 30 m/s and a constant acceleration of 30 m/s², the displacement at t = 5 s can be calculated by the equation s = ut + ½at², where s is displacement, u is initial velocity, and a is acceleration.
The velocity at time t is determined by the equation v = u + at. Additionally, when plotting a graph of velocity versus time for a particle under constant acceleration, it appears as a straight line when the acceleration is constant, displaying a linear relationship between velocity and time.