Kinematics & Motion Graphs

Dr.·

Kinematics

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At a Glance

SubjectKinematics

Original Prompt

I want to create a homework worksheet/resource for Lesson #2, College Level Calc Based Physics, with the following: College Physics I (Calculus-Based) Homework #2 — Kinematics & Motion Graphs Directions: Show all work. Include units on every answer and apply correct significant figures when appropriate. Part I — Position, Velocity, and Acceleration (Calculus) 1. A particle moves along the x-axis with position given by 𝑥 ( 𝑡 ) = 5 𝑡 2 − 3 𝑡 + 2 x(t)=5t 2 −3t+2 where 𝑥 x is in meters an...

This learning resource focuses on the application of calculus in analyzing kinematics concepts such as position, velocity, and acceleration. Students will learn how to differentiate position functions to derive velocity and acceleration, evaluate these functions at specific points in time, and interpret motion graphs. Key components include worked examples demonstrating the differentiation process, exercises that facilitate understanding of average velocity, and an analysis of motion through graph interpretation. The document also encourages deeper mastery through challenges involving higher-order differentiation, ensuring a thorough comprehension of the concepts involved.