A particle moves along a line so that its position at any time t > 0 is given by the function s(t) = - t3 + 7t2 - 14t +8 wher
e s is measured in meters and t is measured in seconds. Find the displacement during the first 5 seconds.
1 answer:
Answer:
s(5) = -12
Step-by-step explanation:
s(t) = - t³ + 7t² - 14t +8
Find the displacement during the first 5 seconds.
When t = 5
s(t) = - t³ + 7t² - 14t +8
s(5) = -5³ + 7(5)² - 14(5) + 8
= -125 + 7(25) - 70 + 8
= -125 + 175 - 70 + 8
= -12
s(5) = -12
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