Question

A toy car, A, moves horizontally along the positive x- axis such that its position at...

A toy car, A, moves horizontally along the positive x- axis such that its position at time t > 0 is given by
the function
s(t) = 7t3 – 6t2 + 3, where t is time in seconds.

(c) A toy truck, B, moves vertically along the positive y- axis such that its position at time t > 0 is given by
the function: g(t) = 5t + 2. For any time t, t > 0, the position of toy car A, toy truck B and the origin form
a right triangle in the first quadrant. What is the rate of change of the area of the triangle at time t = 2
seconds? Show all the calculations that lead to your answer.

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