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Create an equation for the velocity of a particle at any time t, stating the initial...

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Physics

Create an equation for the velocity of a particle at any time t,stating the initial position, which cannot equal 0. The equationmust include all of:

• Rational function

• Trigonometric function

a. Determine, using appropriate sums of rectangles, an over andunder estimation of the displacement of the particle in the first10 seconds. i. Explain how this estimation could be made moreexact.

b. Determine the exact displacement of the particle for thefirst 10 seconds, and then determine the exact location of theparticle after 10 seconds.

c. Determine the average acceleration of the particle from 0.Illustrate how your answer could have been determined by thegraphs.

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