Resistive Force and Terminal Velocity

Core Sentence / 核心句

Terminal velocity is reached asymptotically when speed-dependent resistance balances the driving force, making acceleration zero while velocity remains nonzero.

线性阻力下落：

\qquad v_t=\frac{mg}{b}$$ 从静止释放： $$v(t)=v_t(1-e^{-bt/m})$$ ## Watch Out / 易错点 terminal velocity 不是停止；正负号取决于坐标方向，阻力始终反对相对流体速度。 ## Mentioned In / 出现位置 - [[AP物理C力学第4次正课-连接体阻力与圆周运动入门#4. Speed-Dependent Resistance / 速度相关阻力|第4次正课 · drag]] ## Connected Notes / 连接 - [[Differential Equations]] - [[Exponential Functions]] - [[Newton's Second Law]]