The position of a particle at time t is s(t) = 4t^3. Compute the average velocity over the time interval [4, 6]. Estimate the instantaneous velocity at t = 4.
Added by James G.
Step 1
To compute the average velocity over the time interval [4, 6], we need to use the formula: average velocity = (change in position) / (change in time) In this case, the change in position is: s(6) - s(4) = 4(6)^3 - 4(4)^3 = 864 And the change in time is: 6 - 4 Show more…
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