The distance xm travelled by a particle in time t seconds is described by the eq...
Question
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 = 5sOptions
A) 60 ms-1
B) 72 ms-1
C) 84 ms-1
D) 108 ms-1
Related Lesson: Summary and Main Ideas | One-Dimensional Kinematics
The correct answer is 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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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