1 equation:
as u know that
a=(v-u)/t
so, v-u=a*t
therefore, v=u+at
which is the first equation of motion
equations of motion, study of light, laws of motion, invention of calculus method, specially differentiation and integration
The kinematic equations can be derived by integrating the acceleration function to find the velocity function, and then integrating the velocity function to find the position function. These equations describe the motion of an object in terms of its position, velocity, and acceleration over time.
To derive the kinematic equations for motion in one dimension, start with the definitions of velocity and acceleration. Then, integrate the acceleration function to find the velocity function, and integrate the velocity function to find the position function. This process will lead to the kinematic equations: (v u at), (s ut frac12at2), and (v2 u2 2as), where (v) is final velocity, (u) is initial velocity, (a) is acceleration, (t) is time, and (s) is displacement.
rmsvoltage
To derive the dispersion relation for a physical system, one typically starts with the equations that describe the system's behavior, such as wave equations or equations of motion. By analyzing these equations and applying mathematical techniques like Fourier transforms or solving for the system's eigenvalues, one can determine the relationship between the system's frequency and wavevector, known as the dispersion relation. This relation helps understand how waves propagate through the system and how different frequencies and wavelengths are related.
The Runge-Kutta method is one of several numerical methods of solving differential equations. Some systems motion or process may be governed by differential equations which are difficult to impossible to solve with emperical methods. This is where numerical methods allow us to predict the motion, without having to solve the actual equation.
means motion of equation
In classical mechanics, the Lagrangian and Hamiltonian formulations are two different mathematical approaches used to describe the motion of a system. Both formulations are equivalent and can be used interchangeably to solve problems in mechanics. The Lagrangian formulation uses generalized coordinates and velocities to derive the equations of motion, while the Hamiltonian formulation uses generalized coordinates and momenta. The relationship between the two formulations is that they both provide a systematic way to describe the dynamics of a system and can be used to derive the same equations of motion.
One can solve equations of motion by graph by taking readings of the point of interception.
Equations = the method
Simultaneous equations can be solved using the elimination method.
The method is the same.