The position of an object moving along a line at any time t 2 0 is given by the function s(t) = t3 – 9t2 + 18, where s is measured in feet and t is measured in seconds. A) Find the velocity of the particle at t = 4.

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Answer 1
Answer:

Answer:

S = t^3 - 9 t^2 + 18          position of particle

V = dS / dt = 3 t^2 - 18 t     speed of particle at time t

V = 3 * 4^2 - 18 * 4 = 48 - 72 = - 24 ft/sec

 


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