The velocity (v ms^{-1}) of a particle moving in a straight line is given by...
FURTHER MATHEMATICSWAEC 2009
The velocity \(v ms^{-1}\) of a particle moving in a straight line is given by \(v = 3t^{2} - 2t + 1\) at time t secs. Find the acceleration of the particle after 3 seconds.
- A. \(26 ms^{-2}\)
- B. \(18 ms^{-2}\)
- C. \(17 ms^{-2}\)
- D. \(16 ms^{-2}\)
Correct Answer: D. \(16 ms^{-2}\)
Explanation
\(v(t) = 3t^{2} - 2t + 1\)
\(\frac{\mathrm d v}{\mathrm d t} = a(t) = 6t - 2\)
\(a(3) = 6(3) - 2 = 18 - 2 = 16 ms^{-2}\)
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