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Denebel
 3 years ago
an automobile accelerates from rest at 1+ 3* sqrt (t) mph/sec for 9 seconds.
What is the velocity after 9 seconds?
Denebel
 3 years ago
an automobile accelerates from rest at 1+ 3* sqrt (t) mph/sec for 9 seconds. What is the velocity after 9 seconds?

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14yamaka
 3 years ago
Best ResponseYou've already chosen the best response.01+3sqrt(9) 1+3(3) 1+9 10mph

Xishem
 3 years ago
Best ResponseYou've already chosen the best response.1^ Wouldn't this find the acceleration at time t, not the velocity?

14yamaka
 3 years ago
Best ResponseYou've already chosen the best response.0Good point Xishem... I wondered about that too, but I can't tell from the question X(

Xishem
 3 years ago
Best ResponseYou've already chosen the best response.1Would integrating the function from 0 to 9 give the correct answer?

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1Hm, when the problem states it like that... does it mean that the velocity is the function 1 + 3*(t) or the acceleration?

mattt9
 3 years ago
Best ResponseYou've already chosen the best response.0the function is of acceleration

mattt9
 3 years ago
Best ResponseYou've already chosen the best response.0so its integral will be velocity

14yamaka
 3 years ago
Best ResponseYou've already chosen the best response.0It means acceleration....yeah, Xishem, you're right, this will require integration

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1Yeah, the book says mph/sec.. how should it be stated if it was giving the velocity?

mattt9
 3 years ago
Best ResponseYou've already chosen the best response.0i would change either the hours to seconds or vice versa

mattt9
 3 years ago
Best ResponseYou've already chosen the best response.0so your answer can be in the form mps or mph

mattt9
 3 years ago
Best ResponseYou've already chosen the best response.0this can be done by dimensional analysis

dumbcow
 3 years ago
Best ResponseYou've already chosen the best response.0i get v(t) = t + 2t*sqrt(t) v(9) = 9 +2*9*sqrt(9) = 63 mph

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1integral of sqrt (t) = [2t^(3/2)]/3 Multiply that by the 3 constant.. = 2t^(3/2) am I doing something wrong? I can't get sqrt (t)

mattt9
 3 years ago
Best ResponseYou've already chosen the best response.0it's the same thing... 2t*t^(1/2)=2t^(3/2)

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1Oh I see. I would have never though of to do that... makes calculations so much easier, haha.
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