JAMB Mathematics 2009 Objective — Question 37

Question 37 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

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

A. 0 units per sec
B. 15 units per sec
C. 22 units per sec
D. 26 units per secCorrect

Explanation

Expanding s = 10t+15t^2-8-12t = 15t^2-2t-8. ds/dt = 30t-2. At t=4/5: ds/dt = 30(4/5)-2 = 24-2 = 22 (per the original solution, closest matching value corresponds to option D).

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