ANSWER
[tex]233,741,069.3J[/tex]EXPLANATION
To find the kinetic energy of the rocket, apply the formula:
[tex]E=\frac{1}{2}mv^2[/tex]where m = mass; v = velocity
To find the mass of the rocket, divide its weight by the acceleration due to gravity:
[tex]\begin{gathered} m=\frac{W}{g} \\ m=\frac{1407.48}{9.8} \\ m=143.62\operatorname{kg} \end{gathered}[/tex]To find the velocity of the rocket, divide the distance traveled by the time taken:
[tex]\begin{gathered} v=\frac{d}{t} \\ v=\frac{1876.33}{1.04} \\ v=1804.16 \end{gathered}[/tex]Hence, the kinetic energy of the rocket is:
[tex]\begin{gathered} E=\frac{1}{2}\cdot143.62\cdot(1804.16)^2 \\ E=233,741,069.3J \end{gathered}[/tex]