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OpenStudy (perl):
speeding up : a >0 & v > 0 or a < 0 & v < 0
slowing down: a < 0 & v > 0 or a > 0 & v < 0
OpenStudy (wade123):
wait whaat?
OpenStudy (wade123):
ohh
OpenStudy (wade123):
how do ifind the time interval??
OpenStudy (wade123):
@perl
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OpenStudy (perl):
one moment
OpenStudy (wade123):
okk
OpenStudy (perl):
it is speeding up on (3, 4.5) ( 6, 8)
it is slowing down on (0, 3) , (4.5, 6)
OpenStudy (wade123):
how did you get that? im just wondering
OpenStudy (perl):
you can take the derivative of v(t) to get acceleration
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OpenStudy (perl):
it is speeding up when velocity and acceleration have the same sign (both positive or both negative)
it is slowing down when velocity and acceleration have different sign
OpenStudy (wade123):
so the derivative is 2t-9, correct? @perl
OpenStudy (wade123):
can you write the steps please??
OpenStudy (wade123):
@perl ???
OpenStudy (perl):
a(t) = 2t - 9 , when is this positive, when is it negative
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OpenStudy (wade123):
when it is negative?
OpenStudy (perl):
solve a(t) > 0 , a(t) < 0
OpenStudy (perl):
2t - 9 > 0 when t > 9/2
2t - 9 < 0 when t < 9/2
OpenStudy (wade123):
ohh
OpenStudy (wade123):
4.5?
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OpenStudy (perl):
yes
OpenStudy (wade123):
oh ok so thats it
OpenStudy (perl):
and we know what v(t) > 0
OpenStudy (wade123):
yeah
OpenStudy (perl):
*when
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