Question

A stone is tossed into the air from ground level with an initial velocity of 31 m/s. Its height at time *t* is

h(t) = 31t − 4.9t^{2}

m. Compute the stone's average velocity over the time intervals

[2, 2.01], [2, 2.001], [2, 2.0001],

and

[1.99, 2], [1.999, 2], [1.9999, 2].

(Round your answers to three decimal places.)

and Estimate the instantaneous velocity *v* at

t = 2

Step 1

We use rate of change formula.

Average velocity in time interval [2,2.01] = 11.351 m/s

Step 2

At [2,2.001] average velocity is = 11.395 m/s

Using same form at [2,2.0001] average velocity is= 11.400 m/s

Step 3

Average velocity in [1.99...

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