The distance S metres moved by a body in t seconds is given by \(S...
FURTHER MATHEMATICS
WAEC 2023
The distance S metres moved by a body in t seconds is given by \(S = 5t^3 - \frac{19}{2} t^2 + 6t - 4\). Calculate the acceleration of the body after 2 seconds
- A. 19 \(ms ^{-2}\)
- B. 21 \(ms ^{-2}\)
- C. 41 \(ms ^{-2}\)
- D. 31 \(ms ^{-2}\)
Correct Answer: C. 41 \(ms ^{-2}\)
Explanation
\(S = 5t^3 - \frac{19}{2} t^2 + 6t - 4\)
\(v(t)=\frac{dS}{dt}=15t^2-19t+6\)
\(a(t)=\frac{dv}{dt}=30t-19\)
∴a(2)=30(2)-19=60-19=41 \(ms ^{-2}\)
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