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Answer :

Given data

The speed of the rocket is v = 32.5 m/s

The angle of projection of the rocket is theta = 28.8 degree

The expression for the distance of the log on the flat ground is given as:

[tex]R=\frac{v^2\sin 2\theta}{g}[/tex]

Substitute the value in the above equation.

[tex]\begin{gathered} R=\frac{(32.5\text{ m/s})^2\times\sin (2\times28.8\circ)}{9.8m/s^2} \\ R=91\text{ m} \end{gathered}[/tex]

Thus, the distance of the log on the flat ground is 91 m.