3.4Done

Find hal the displacement in the first 3 seconds hbl

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Unformatted text preview: the derivative of the Cost function. 1. A particle moves along a line so that its position at any time t ≥ 0 is given by s HtL = t2 - t - 4, measured in meters and t is measured in seconds. Find HaL the displacement in the first 3 seconds HbL the average velocity in the first 3 seconds HcL the acceleration at t = 3 seconds HdL where the particle is when s is a minimum HeL the velocity when t = 3 seconds HaL s H3L - s H0L = 2 - H- 4L where s is 6 meters m HbL average velocity = ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄ Ä = 2 ÄÄÄÄÄÄÄÄÄÄÄÄÄ Ä 3 seconds sec m HcL v HtL = 2 t - 1 a HtL = 2 a H3L = 2 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Ä sec2 1 HdL find where the derivative is 0 2t - 1 = 0 t = ÄÄÄÄÄ second, and check the endpoints so 2 1 i1y jz s H0L = - 4 meters s H1L = - 4 meters s j ÄÄÄÄÄ z = - 4 ÄÄÄÄÄ m...
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