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Mathematics, 15.02.2022 14:00 Daruk

A stone is tossed into the air from ground level with an initial velocity of 39 m/s. Its height at time t is h(t) = 39t − 4.9t^2 m/s. Compute the stone's average velocity over the time intervals

[1, 1.01], [1, 1.001], [1, 1.0001],

and

[0.99, 1], [0.999, 1], [0.9999, 1].

Estimate the instantaneous velocity v at t = 1.

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