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Mathematics 19 Online
OpenStudy (wade123):

@perl can you help me on this calc problem?

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

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

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

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?

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

OpenStudy (wade123):

okk

OpenStudy (wade123):

thanks(:

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