PHY 105: The Week beginning Aug. 28 |
We discussed the concepts of position, units, coordinate system, distance, displacement, time, velocity, speed, and acceleration.
We obtained an expression for the average velocity. We discussed that the average velocity did not provide a very detailed picture of the motion since it only used information about two end points and neglected what happened in between. We considered a procedure of introducing more and more intermediate points to obtain a more detailed picture of the motion. This ultimately led to the concept of instantaneous velocity. We use two points (position and time) of the motion to determine the velocity; with instantaneous velocity the second point is an infinitesimal amount of time after the first. The instantaneous velocity is obtained by taking the derivative of the position with respect to time.