25. The acceleration of a particle moving along the \( x \)-axis at time \( t \) is given by \( a(t) = 2t - 6 \). If at \( t = 1 \), the velocity of the particle is 3 and its position is \( \frac{1}{3} \), then the position \( x(t) = \)
Answer is: option2
Solution:
\( \frac{t^3}{3} - 3t^2 + 8t - 5 \)
