3. A motion detector is used to measure the horizontal distance between a person and a child on a swing. The data is shown in the graph. 4.07 3.6- 3.2- a) When is the distance changing at its fastest rate? 2.8 2.4 Explain how you know. 2.0 16 12 0.8- 0.4- b) What is the average rate of change from 0.5 seconds to 1 second? 0.5 1.0 15 2.0 Time (s) c) At what time is the rate of change 0? Explain how you know. d) Draw a tangent line at 1.5s and use it to estimate the instantaneous rate of change at that time. Distance (m)

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Wave Motion

A wave motion is defined as the propagation of disturbances or transfer of energy and momentum from the state of rest or equilibrium to another point in a medium without any actual transfer of matter between them. In a simple explanation, it is the propagation of energy through a medium that is produced due to the repeated vibrations of the particles. Common things we see day to day like waves on water oscillation of a pendulum or bell, light wave, and all the subatomic particles exhibiting wavelike properties. The propagation of waves depends on the medium and their properties. The wave function is the disturbance that produces waves as a function of time. This disturbance oscillates periodically with a fixed frequency and wavelength. There are linear wave motion and non-linear wave motion based on their propagation, motion, and time period where linear wave motion is like sinusoidal waves and non-linear wave motion like a wave motion that gets interrupted in the middle of their propagation.