Consider the velocity vs. time graph of a person in an elevator shown in Figure 2.70. Suppose the elevator is initially at rest. It then accelerates for 3 seconds, maintains that velocity for 15 seconds, then decelerates for 5 seconds until it stops. The acceleration for the entire trip is not constant so we cannot use the equations of motion from Motion Equations for Constant Acceleration in One Dimension for the complete trip. (We could, however, use them in the three individual sections where acceleration is a constant.) Sketch graphs of (a) position vs. time and (b) acceleration vs. time for this trip.

Two Dimensional Ideal Das Bipin Sharma Abstract: This paper will be used to formulate the classical ideal behavior of particles in a two-dimensional space. The ideal gas particles are thought to be non-interacting, that is, they do not interact with each other. This is thought to have been possible due to the fact that the distance of separation between the particles is very large as compared to the size of the particles themselves. Introduction: Consider a two-dimensional box which contains particles moving randomly and colliding with each other as well as the walls of the 2-dimensional box. Let the box be a square and let its dimensions be L and N be the total number of particles there are inside the box, each with mass m. Let the particles move around with random velocities o1 V , V 2 V cNrresponding to particle 1, 2… N respectively. The pressure in two-dimensional gas can be defined as the force per unit length and can be considered to be generated by the collision of particles on the walls of the area. Assuming the velocity of any one particle to be V and resolving it into its components V xnd V ,ywe can find the change in momentum of the particle after collision by taking only the x-component as: