If the velocity of the object is given as ( V=12 t^{8}+3 t^{2} ) where ( x ) is in meters and ( t ) is in seconds. Find the instantaneous acceleration at ( 2 mathrm{~S} )

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Step:1 ：(mathrm{Step~1:}~frac{dV}{dt} = A(t) = frac{d(12t^{8} + 3t^2)}{dt})Step:2 ：(mathrm{Step~2:}~A(t) = 96t^7 + 6t)Step:3 ：(mathrm{Step~3:}~A(2) = 96(2)^7 + 6(2))

Answer

Step: 1 ：(mathrm{Step~1:}~frac{dV}{dt} = A(t) = frac{d(12t^{8} + 3t^2)}{dt})Step: 2 ：(mathrm{Step~2:}~A(t) = 96t^7 + 6t)Step: 3 ：(mathrm{Step~3:}~A(2) = 96(2)^7 + 6(2))

If the velocity of the object is given as \( V=12 t^{8}+3 t^{2} \) where \( x \) is in meters and \( t \) is in seconds. Find the instantaneous acceleration at \( 2 \mathrm{~S} \)

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