Motion with Drag | Terminal Velocity (Step by Step)

In ideal case, a falling object is supposed to accelerate at a constant rate of 9.8 m/s^2. However, in real life situations, the velocity of falling objects reach an upper limit known as Terminal speed or Terminal velocity. This is because, there is an external medium like air or other fluids that introduce a Drag Force that counteracts the gravitational attraction. Terminal velocity is reached when the Drag force becomes equal to the weight of the body. #FortheLoveofPhysics In this video, I solve the Force equation to obtain an expression of how velocity of falling object varies with time for two cases - (i) Drag Force is directly proportional to velocity (ii) Drag Force is directly proportional to velocity squared 00:00 Introduction 03:15 Drag Force proportional to v 11:24 Drag Force proportional to v-squared Interested in moreeeeee....? ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ 1. The Simple Pendulum is not so Simple -    • Simple Pendulum (Step by Step DERIVATION)   2. The Chaos of the Double Pendulum -    • Double Pendulum - Derivation (Lagrangian A...   3. The Double Pendulum as Coupled Oscillator -    • Double Pendulum as Coupled Oscillator (Ste...   4. The Coupled Pendulum (Normal Modes) -    • Spring Coupled Pendulum - Normal Modes & F...   5. Coupled Oscillators (Normal Modes/ Frequencies)    • Coupled Oscillators | Normal Modes & Frequ...   6. Damped Harmonic Oscillators -    • Damped Harmonic Oscillations (Derivation )...   ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ 7. What if you fell through a TUNNEL through Earth -    • Motion through Earth (Tunnel) Derivation    8. BLOCK Stacking Problem (Very Interesting) -    • Block Stacking Problem (Step by Step)   9. Terminal Velocity (Force Equations) -    • Motion with Drag | Terminal Velocity (Step...   10. WELL OF DEATH - Physics Problem -    • Circular Motion - Mechanics Problem (Well ...   11. Fermat's Principle to Snell's Law -    • Fermat's Principle to Snell's Law (Derivat...   ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ PLAYLIST on Various Problems on MECHANICS    • Problems in Mechanics   ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ 💖Support   / dibyajyotidas   🌷 Donate https://paypal.me/FortheLoveofPhysics Telegram https://t.me/FortheLoveofPhysicsYT ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ **My PDF Notes and Programs are uploaded to my Patreon, and Telegram Channel