Calculus Position Average Velocity Acceleration Distance amp Displacement Derivatives amp Limits











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This calculus video tutorial explains the concepts behind position, velocity, acceleration, distance, and displacement, It shows you how to calculate the velocity function using derivatives and limits plus it contains plenty of notes, equations / formulas, examples, and particle motion practice problems for you to master the concept. • Derivative Applications - Free Formula Sheet: https://bit.ly/4eV6r1b • Calculus 1 Final Exam Review: •    • Calculus 1 Final Exam Review   • • Here is a list of topics: • 1. The position function - S(t) - Calculating the total distance traveled and the net displacement of a particle using a number line. • 2. Average velocity vs Instantaneous Velocity - Equations / Formulas • 3. Slope of the secant line vs Slope of the tangent line • 4. Average rate of change vs Instantaneous Rate of Change • 5. How to tell if a particle is moving to the right, left, at rest, or changing direction using the velocity function v(t) • 6. Average acceleration vs Instantaneous Acceleration • 7. Acceleration is positive when velocity is increasing • 8. Acceleration is negative when velocity is decreasing • 9. Acceleration is zero at constant velocity or constant speed • 10. Instantaneous Speed is the absolute value of velocity • 11. Vectors - Magnitude direction - displacement, velocity and acceleration • 12. Scalar Quantities - Speed and Distance • 13. Average Speed is total distance divide by change in time • 14. Average velocity is displacement divided by time • 15. Number line and interval notation • 16. The particle is moving to the right when the velocity is positive • 17. The particle is moving to the left when velocity is negative. • 18. The particle is at rest or changing direction when velocity is zero. • 19. How to calculate instantaneous speed and velocity • 20. How estimate instantaneous velocity for data tables using average velocity • 21. How to find the intervals when the particle is moving to the right, left, or is at rest • 22. Intervals when velocity is increasing or decreasing • 23. How to find the intervals when the particle is speeding up or slowing down using a sign chart of acceleration and velocity • 24. Calculating distance and displacement from the position function s(t) • 25. Interval Notation - Brackets vs Parentheses • 26. Derivative of position is velocity • 27. Derivative of velocity is acceleration • 28. calculating the velocity function using the definition of the derivative equation or the limit process / difference quotient • 29. Calculating the instantaneous rate of change / slope of the tangent line

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