Final answer:
To calculate resultant displacement, we use the kinematic equation Δx = v0t + ½at^2, where displacement is affected by initial velocity, acceleration, and time. The rate of change of velocity is known as acceleration. Displacement can also be visualized as the area under the velocity-time graph.
Step-by-step explanation:
To solve for resultant displacement given variables such as displacement (initial position x0 and final position x), velocity, acceleration (a), and time (t), we use kinematic equations. One of the kinematic equations that relates these variables is:
Δx = v0t + ½at2
where Δx represents the displacement, v0 is the initial velocity, t is the time, and a is the acceleration.
The rate of change of velocity is called acceleration. When plotting motion on a graph, the displacement versus time graph can show the velocity as the slope. Additionally, the area under the velocity versus time graph represents the displacement.