Determine the displacement, average velocity, average speed and average acceleration for the time period from t=2 seconds to t=7 seconds.

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A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time given: x = 0.5t^3 + t^2 + 2t, where x and t are expressed in feet and seconds, respectively. Determine the displacement, average velocity, average speed and average acceleration for the time period from t=2 seconds to t=7 seconds.
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