The distance s in metres covered by a particle in t seconds is \(s =
FURTHER MATHEMATICS
WAEC 2012
The distance s in metres covered by a particle in t seconds is \(s = \frac{3}{2}t^{2} - 3t\). Find its acceleration.
- A. \(1 ms^{-2}\)
- B. \(2 ms^{-2}\)
- C. \(3 ms^{-2}\)
- D. \(4 ms^{-2}\)
Correct Answer: C. \(3 ms^{-2}\)
Explanation
The two time differentiation of distance with respect to time will give the acceleration.
\(s = \frac{3}{2}t^{2} - 3t\)
\(\frac{\mathrm d s}{\mathrm d t} = v = 3t - 3\)
\(\frac{\mathrm d v}{\mathrm d t} = a = 3\)
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