# What does d, y, t represents in the equation acceleration(a)= (d^2 y)/ (dt^2)?

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Expert Answers

jeew-m | Certified Educator

We know the following basics.

Velocity(V) = (Change in Distance)/(Time)

Accelaration(a) = (Change in Velocity)/(Time)

Change in distance is denoted by 'y' and time is represented by 't'.

`V = (dy)/dt`

`a = (dV)/dt = (d(dy/dt))/dt = (d^2y)/(dt^2)`

`a = (d^2y)/(dt^2)`

So finally;

*y = represent distance/displacement which is a vector*

*t = time*

*d = this means the derivative. This is used to represent the change of velocity and displacement with time.*