A 4 kg particle moves along x with position x(t)=t+2t³ (SI units). Find (i) kinetic energy K(t); (ii) force F(t); (iii) power P(t); (iv) work done from t=0 to 2 s.

Options

• Option A

  K=2+24t²+72t⁴ J; F=48t N; P=48t+288t³ W; W₀→₂=1248 J

• Option B

  K=2+12t²+36t⁴ J; F=24t N; P=24t+144t³ W; W=624 J

• Option C

  K=1+24t²+72t⁴ J; F=48t² N; P=96t³ W; W=1248 J

• Option D

  K=2+24t²+36t⁴ J; F=24t N; P=48t+144t³ W; W=624 J