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# Please do not use integralst (mins): 0, 2, 3, 5, 10v(t) (yards/min): 6, 10, -5, 6, -12

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An object is moving up and down a vertical line below the ocean surface. The object's velocity (yards/min) for 0≤t≤10 minutes is given by a continuous and differentiable function v(t). Specific values of v(t) are in the table below.

1) Must there be a time t or 0<t<10 when the velocity of the object is zero? Show all work.

2) Estimate the object's acceleration at time t=3 by utilizing data given from the table above. Use correct units.

3) Based on the estimation found in question 2, is the speed of the object increasing, decreasing, or neither at t=3? Explain and show all work.

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