Problem

A particle moves according to the equation \( x=16 t^{9}+2 \) where \( x \) is in meters and \( t \) is in seconds. Find the instantaneous velocity at 3 second

Answer

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Answer

\(v(3) = 2064384\)

Steps

Step 1 :\(v(t) = \frac{dx}{dt} = 144t^{8}\)

Step 2 :\(v(3) = 144(3)^{8}\)

Step 3 :\(v(3) = 2064384\)

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