A formula for calculating the velocity of linear motion with constant acceleration? (constant acceleration, not constant speed change) Acceleration a = (mg KS) / g, where m, G and K are known constants. The above formula is the functional relationship between acceleration a and displacement S. let the velocity of the object at the beginning and the end be 0. Can we give the formula for calculating the velocity of the object at time t? If not, what conditions are needed? I made a mistake. It should be a = (mg KS) / m

A formula for calculating the velocity of linear motion with constant acceleration? (constant acceleration, not constant speed change) Acceleration a = (mg KS) / g, where m, G and K are known constants. The above formula is the functional relationship between acceleration a and displacement S. let the velocity of the object at the beginning and the end be 0. Can we give the formula for calculating the velocity of the object at time t? If not, what conditions are needed? I made a mistake. It should be a = (mg KS) / m

If it is, the solution is given below; if it is not, only the coefficients are different, the other methods remain unchanged. When solving a second-order differential equation s' '= - K / m * (s-mg / k) initial condition t = 0, s = 0, s' = 0, we can get: S = mg / K - mg / k * cos (sqrt (k