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The position of a particle moving along the x axis is given in centimeters by x...

The position of a particle moving along the x axis is given in centimeters by x = 9.75 + 2.50t 3, where t is in seconds. Consider the time interval t = 2.00 s to t = 3.00 s.

(a) Calculate the average velocity.

(b) Calculate the instantaneous velocity at t = 2.00 s.

(c) Calculate the instantaneous velocity at t = 3.00 s.

(d) Calculate the instantaneous velocity at t = 2.50 s.

(e) Calculate the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s.

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