Jambmaths question:
If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.
Option A:
50 units per sec
Option B:
35 units per sec
Option C:
22 units per sec
Option D:
13 units per sec
Jamb Maths Solution:
$\begin{align} & S=(4t+3)(t-2) \\ & S=4{{t}^{2}}-8t+3t-6 \\ & S=4{{t}^{2}}-5t-6 \\ & \frac{dS}{dt}=8t-5 \\ & \text{When }t=5\text{secs} \\ & \frac{dS}{dt}=[8(5)-5]\text{units per sec} \\ & \frac{dS}{dt}=35\text{units per sec} \\\end{align}$
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