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Her final speed is 14.5 m/s.

The kinematics equation v = at + v0 will be useful here. Note that t is the time measured in seconds, a is the acceleration, v0 is the initial velocity, and v is the velocity after t seconds (the final velocity).

We are given that v0 = 10 m/s, a = 0.500 m/s2, and t = 9 s.

Using the above kinematics equation we get v = (0.500 m/s2)(9 s) + 10 m/s = 14.5 m/s.

Since speed = |velocity|, then her final speed = |14.5 m/s| = 14.5 m/s.

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