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Problem: The position of a particular particle as a function of time is given by r = (9.60t î+ 8.85 ĵ - 1.00t2 k̂) m, where t is in seconds.(a) What is the average velocity of the particle between t=1.00 s and t=3.00 s?(b) What is the magnitude of the instantaneous velocity at 4.00 s ?

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This is a kinematics problem with calculus. We know that we have calculus because the position function has time raised to a given power. 

We'll need a diagram showing the relationship between position, velocity, and acceleration.

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The position of a particular particle as a function of time is given by r = (9.60t + 8.85 - 1.00t2 ) m, where t is in seconds.

(a) What is the average velocity of the particle between t=1.00 s and t=3.00 s?

(b) What is the magnitude of the instantaneous velocity at 4.00 s ?

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