A particle moves along a horizontal path with position function s(t) = t – 9t2 + 15t + 8. 1. Where is the particle located at the second instance that it changed direction? 2. Is the particle speeding up or slowing down at t = 2? 3. Determine the total distance travelled by the particle during the first 6 seconds. 4. What is the rate of change of the acceleration of the particle with respect to time at t = 1?

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Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.