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

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spsaroj | Student, Grade 10 | Honors

Posted May 21, 2013 at 10:24 AM via web

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

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted May 21, 2013 at 10:52 AM (Answer #1)

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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.

 

 

 

 

 

 

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