Mathematics

Mathematics

Problem

For a particle, the displacement as a function of time is x(t)=6t−0.5t2x(t)=6t-0.5t^{2} (SI units). a. (a) Determine the average velocity in the interval t=0t=0 to t=6 st=6\,\text{s}. b. (b) Find the instantaneous velocity at t=3 st=3\,\text{s} and comment on its relation to the value obtained in part (a).

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