Show by the use of Poisson brackets that for one-dimensional harmonic oscillator there is a constant of the motion u defined as u(q, p,t)=ln⁡(p+imωq)-iωt

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.

the duration of a photographic flash is related to an rc time constant, which is 0.100 μs for a certain camera.