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

Correct Answer: B. 72 ms-1

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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