Question: Consider the position function s(t) = 5 sin 3t that describes a block bouncing vertically on a spring. Complete the following table with the appropriate

Consider the position function s(t) = 5 sin 3t that describes a block bouncing vertically on a spring. Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = Time Interval 2 2 + 0.1 5 5 +0.01 5: 3 +0.001 7 +0.0001 Average Velocity Complete the following table. Time Interval 2 ' 2 + 0 .1 2 7 + 0.01 * + 0.001 + 0.0001 Average Velocity 3.18 0 Round to five decimal places as needed.) The value of the instantaneous velocity at t = , is (Round to the nearest integer as needed.)

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