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
Solution
Step 1 ：\(v(t) = \frac{dx}{dt} = 144t^{8}\)
Step 2 ：\(v(3) = 144(3)^{8}\)
Step 3 ：\(v(3) = 2064384\)
