Concept explainers
Instantaneous velocity Consider the position function s(t) = 3 sin t 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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Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package
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