Derivitive of the X final equation?

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The discussion focuses on finding the derivative of the equation Xfinal = 0.5at² + Vinitialt + Xinitial with respect to time. The user notes that Xinitial, Vinitial, and acceleration are constant values. They attempt to differentiate the equation, starting with the term d(Xfinal)/dt, which leads to d(0.5at²)/dt + d(Vinitialt)/dt. The conversation highlights the challenge of applying differentiation to a function involving constants and time. The key takeaway is the need to correctly apply the rules of differentiation to solve for the derivative.
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Homework Statement


The derivitive of the Xfinal=.5at2+Vinitialt+Xinitial


Homework Equations


Xfinal=.5at2+Vinitialt+Xinitial

Xfinal= Final distance
Xinitial= Initial distance
a= Acceleration
t= Time
Vinitial= Initial velocity


The Attempt at a Solution


I have attempted the problem but get stuck almost immediatly.
 
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Here x(initial), v(initial) and acceleration are constant. So the derivative of the equation with respect to time is
d(xf)/dt = d(.5at^2)/dt + d(vi*t)/dt
 
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