Instantaneous velocity Consider the position function s(t) = 3 sin f 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 = −π/2.
Time interval | Average velocity |
[π/2, π] |
|
[π/2, π/2 + 0.1] |
|
[π/2, π/2 + 0.01] |
|
[π/2, π/2 + 0.001] |
|
[π/2, π/2 + 0.0001] |
|
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