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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
HbL average velocity = ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄ
= 2 ÄÄÄÄÄÄÄÄÄÄÄÄÄ
HcL v HtL = 2 t - 1
a HtL = 2
a H3L = 2 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ
HdL find where the derivative is 0
2t - 1 = 0
t = ÄÄÄÄÄ second, and check the endpoints so
s H0L = - 4 meters
s H1L = - 4 meters
s j ÄÄÄÄÄ z = - 4 ÄÄÄÄÄ m...
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