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If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

Mathematics
JAMB 2019

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

  • A. 50 units per sec
  • B. 35 units per sec
  • C. 22 units per sec
  • D. 13 units per sec
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Correct Answer: Option B
Explanation

\(s = (4t + 3)(t - 2)\)

\(\frac{\mathrm d s}{\mathrm d t} = (4t + 3)(1) + (t - 2)(4)\)

= \(4t + 3 + 4t - 8\)

= 8t - 5

\(\frac{\mathrm d s}{\mathrm d t} (t = 5 secs) = 8(5) - 5\)

= 40 - 5 

= 35 units per sec

There is an explanation video available below.


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Explanation Video

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