second time derivative造句

• Is the acceleration of the " k " particle, the second time derivative of its position vector.
• Commonly expressed today as Force = Mass ?acceleration, it involves differential calculus because acceleration is the time derivative of velocity or second time derivative of trajectory or spatial position.
• By contrast the Lagrangian approach leads to " three " nonlinear coupled equations, mixing in the first and second time derivatives of in all of them, despite its absence from the Lagrangian.
• The formal expression for acceleration is d瞲 / dt? i . e . the second time derivative of position; which does equal m / s?( for meters and seconds ) which is the form people who haven't leanred calculus know.
• Here, \ alpha _ r = \ ddot { q _ r } is an arbitrary generalized acceleration, the second time derivative of the generalized coordinates " q r " and " Q r " is its corresponding generalized force; that is, the work done is given by
• Where \ scriptstyle R is the radius of the bubble, the dots indicate first and second time derivatives, \ scriptstyle \ rho _ l is the density of the liquid, \ scriptstyle c is the speed of sound through the liquid, \ scriptstyle dp _ B ( R, t ) is the pressure on the liquid side of the bubble's interface, \ scriptstyle t is time, and \ scriptstyle p _ A ( t ) is the driving pressure.
• Where \ scriptstyle R is the radius of the bubble, the dots indicate first and second time derivatives, \ scriptstyle \ rho _ l is the density of the liquid, \ scriptstyle c is the speed of sound through the liquid, \ scriptstyle p _ B ( R, t ) is the pressure on the liquid side of the bubble's interface, \ scriptstyle t is time, and \ scriptstyle p _ A ( t + \ frac { R } { c } ) is the time-delayed driving pressure.