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Mathematics 18 Online
OpenStudy (lgbasallote):

the derivative of \(v = 5.00t^2 + 4.00t\) is 10t + 4 yes?

OpenStudy (anonymous):

nods

OpenStudy (anonymous):

almost afraid to answer...

hartnn (hartnn):

yes it is.

OpenStudy (lgbasallote):

so tell me... The speed of an object is given by v = 5.00t^2 + 4.00t where v is in m/s and t is in s. What is the acceleration of the object at t = 2s? how come this is 20 m/s? shouldn't it be 14?

OpenStudy (lgbasallote):

24*

OpenStudy (anonymous):

10

OpenStudy (lgbasallote):

becuase \[v' = 10t + 4\] \[v'(2) = 10(2) + 4 \implies 24\]

OpenStudy (anonymous):

oh wait thats the velocity equation

OpenStudy (lgbasallote):

yeah...

OpenStudy (anonymous):

It should indeed be 24.

hartnn (hartnn):

must be 24

OpenStudy (anonymous):

why is it suppose to be 14?

OpenStudy (lgbasallote):

for some reason..20 is the answer...and even more weird.. I got it right when I answered it then

OpenStudy (lgbasallote):

could it be a matter of rounding off?

OpenStudy (anonymous):

nvm it was a typo

OpenStudy (anonymous):

sig figs?

OpenStudy (anonymous):

Nope, I think your textbook or whatever is just wrong. I don't see why you would want an answer to one significant figure in classical mechanics!

OpenStudy (lgbasallote):

well the instruction is to choose the best answer. If the answer is not in the choices, pick e which means none of the above then the choices were 5,9, 10, 20

OpenStudy (anonymous):

Then 20 is closest so just choose that, but kick up a fuss with your lecturer/teacher :P

OpenStudy (lgbasallote):

lol

OpenStudy (anonymous):

Tell him that Einstein would be disgusted at the disgraceful and needless loss of accuracy, so you refuse to answer the question as a protest. :D

OpenStudy (anonymous):

the acceleration of the object is always\[a(t)=v \prime(t)=d \prime \prime(t)\] a=10

OpenStudy (lgbasallote):

this is velocity equation

OpenStudy (anonymous):

distance changes quadraticly,i am hoping that formular is likely distance

OpenStudy (anonymous):

@Jonask makes a good point. If the equation you gave us is actually the one for distance then the answer would indeed be 10.

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