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

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14yamakaBest ResponseYou've already chosen the best response.0
1+3sqrt(9) 1+3(3) 1+9 10mph
 2 years ago

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

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

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

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

mattt9Best ResponseYou've already chosen the best response.0
the function is of acceleration
 2 years ago

mattt9Best ResponseYou've already chosen the best response.0
so its integral will be velocity
 2 years ago

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

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

mattt9Best ResponseYou've already chosen the best response.0
i would change either the hours to seconds or vice versa
 2 years ago

mattt9Best ResponseYou've already chosen the best response.0
so your answer can be in the form mps or mph
 2 years ago

mattt9Best ResponseYou've already chosen the best response.0
this can be done by dimensional analysis
 2 years ago

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

DenebelBest ResponseYou've already chosen the best response.1
integral 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)
 2 years ago

mattt9Best ResponseYou've already chosen the best response.0
it's the same thing... 2t*t^(1/2)=2t^(3/2)
 2 years ago

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