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Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2...

Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2 – 7t + 10) m/s, where t is in s.

a) Graph the velocity function for t in the interval 0s-6s.

b) At what times does the particle reach its turning points?

c) Find and graph the position function x (t).

d) Find and graph the acceleration function a(t).

e) What is the particle’s acceleration at each of the turning points?

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