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The distance xm travelled by a particle in time t seconds is described by the...

Physics
JAMB 1997

The distance xm travelled by a particle in time t seconds is described by the equation x = 10 + 12t2, Find the average speed of the particle between the time interval t = 2s and t = 5s
  • A. 60 ms-1
  • B. 72 ms-1
  • C. 84 ms-1
  • D. 108 ms-1
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Correct Answer: Option B
Explanation
speed = \(\frac{dx}{dt}\)

\(\frac{dx}{dt}\) = 10 + 12t2

\(\frac{dx}{dt}\) = 24t

\(\frac{dx}{dt}\) =24 x 3

\(\frac{dx}{dt}\) = 72 ms-1

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