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The ball final velocity is 85.75 m/s

Explanation:

According to the problem, ball is dropped from the window and it experience an acceleration due to Earth's gravity which is denoted by g.

Initially, the ball is at rest, so its initial velocity is zero. The ball takes 8.75 s to fall from the window and hits the ground.

The equation of motion for constant acceleration is :

v = u + at

Here v is final velocity, u is initial velocity, t is time and a is acceleration.

In this case, u is zero and a is equal to g. So, the equation becomes :

v = gt

Substitute 8.75 s for t and 9.8 m/s² for g in the above equation.

v = 9.8 x 8.75

v = 85.75 m/s