the derivative of \(v = 5.00t^2 + 4.00t\) is 10t + 4 yes?
nods
almost afraid to answer...
yes it is.
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?
24*
10
becuase \[v' = 10t + 4\] \[v'(2) = 10(2) + 4 \implies 24\]
oh wait thats the velocity equation
yeah...
It should indeed be 24.
must be 24
why is it suppose to be 14?
for some reason..20 is the answer...and even more weird.. I got it right when I answered it then
could it be a matter of rounding off?
nvm it was a typo
sig figs?
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!
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
Then 20 is closest so just choose that, but kick up a fuss with your lecturer/teacher :P
lol
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
the acceleration of the object is always\[a(t)=v \prime(t)=d \prime \prime(t)\] a=10
this is velocity equation
distance changes quadraticly,i am hoping that formular is likely distance
@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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