Determine the position function of a parti- cle moving in 3-space with acceleration a(t) = i+8j+12t k if its initial velocity and position are given by v(0) = 0, r(0) = 9i+6k respectively. 1. r(t) = ( 1 9t +t )i+ 4t j+ (6t + 2t²) k 2. r(t) = (GP, 4t°, 2t) 213 1 3. r(t) = (9+?)i+ 2t°j + (6 + 4ť²) k 4. r(t) (t, 8t, 6t2) (9+)i+ 4°j+(6+24° ) k 2:) k 5. r(t) 9 +

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Q: Part 1.Given that the acceleration vector is a(t)=(−16cos(−4t))i+(−16sin(−4t))j+(3t)k the initial…

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