Let s(t) = 5t⁶ -4t be a position function. Find v when t = 3. A) 7,290 B) 1,455 C) 7,286 D) 3,633 E) 4

Question

Quizplus · Accepted Answer

To find the velocity, we need to take the derivative of the position function. Applying the power rule and chain rule, we get: s'(t) = 25⁶ F1F1F1S1F1F1F10 When t = 3, we can simply plug in 3 for t: s'(3) = 25(3)(1)(16)(1)(1)(0)(-1)(1)(1)(-1)(0)4 s'(3) = 7,286 Therefore, the answer is C.

Let S(t) = 5t6 -4t Be a Position Function

Let S(t) = 5t⁶ -4t Be a Position Function