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The position of a particle moving along the x axis is given by x = A + Br 3 , where A = 9.75 cm and B = 1.50 cm/s 3 . consider the time interval t = 2 to t = 3 s and calculate (a) the average velocity; (b) the instantaneous velocity at t = 2 s; (c) the instantaneous velocity at t = 3 s; (d) the instantaneous velocity at t = 2.5 s; and (e) the instantaneous velocity when the particle is midway between its positions at t = 2 and t = 3 s.

The position of a particle moving along the x axis is given by x = A + Br3 , where A = 9.75 cm and B = 1.50 cm/s3 . consider the time interval t = 2 to t = 3 s and calculate (a) the average velocity; (b) the instantaneous velocity at t = 2 s; (c) the instantaneous velocity at t = 3 s; (d) the instantaneous velocity at t = 2.5 s; and (e)  the instantaneous velocity when the particle is midway between its positions at t = 2 and t = 3 s.

Grade:10

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
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Therefore the instantaneous velocity of the particle at t = 2 s is 18 cm /s .
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