Calculus problem engineering
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You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity (when t=0) of a car accelerating from rest in a straight line. The equation is:
$$v(t)=Aleft(1- e^frac{-5t}{tmax} right)$$
v(t) is the instantaneous velocity of the car (m/s)
t is the time in seconds
tmax is the time to reach the maximum speed in seconds
A is a constant.
t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)
- Identify the
● units of the coefficient A
● physical meaning of A
● velocity of the car at t = 0
● asymptote of this function as t → ∞?
calculus
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
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add a comment |
$begingroup$
You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity (when t=0) of a car accelerating from rest in a straight line. The equation is:
$$v(t)=Aleft(1- e^frac{-5t}{tmax} right)$$
v(t) is the instantaneous velocity of the car (m/s)
t is the time in seconds
tmax is the time to reach the maximum speed in seconds
A is a constant.
t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)
- Identify the
● units of the coefficient A
● physical meaning of A
● velocity of the car at t = 0
● asymptote of this function as t → ∞?
calculus
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
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Set aside that the maximum velocity is never actually reached, what is the question here?
$endgroup$
– maxmilgram
Jan 15 at 16:53
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what is the physical meaning of A
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– Ernest Kucyłyma
Jan 15 at 16:56
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Please update the original question. Also, what is the last line supposed to tell us?
$endgroup$
– maxmilgram
Jan 15 at 17:01
1
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What have you done so far? Please show more effort. Also this line "t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)" is completely unclear. Furthermore as I said before the max velocity can not be reached. Please include all of these points in the original question.
$endgroup$
– maxmilgram
Jan 15 at 17:14
add a comment |
$begingroup$
You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity (when t=0) of a car accelerating from rest in a straight line. The equation is:
$$v(t)=Aleft(1- e^frac{-5t}{tmax} right)$$
v(t) is the instantaneous velocity of the car (m/s)
t is the time in seconds
tmax is the time to reach the maximum speed in seconds
A is a constant.
t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)
- Identify the
● units of the coefficient A
● physical meaning of A
● velocity of the car at t = 0
● asymptote of this function as t → ∞?
calculus
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
$endgroup$
You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity (when t=0) of a car accelerating from rest in a straight line. The equation is:
$$v(t)=Aleft(1- e^frac{-5t}{tmax} right)$$
v(t) is the instantaneous velocity of the car (m/s)
t is the time in seconds
tmax is the time to reach the maximum speed in seconds
A is a constant.
t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)
- Identify the
● units of the coefficient A
● physical meaning of A
● velocity of the car at t = 0
● asymptote of this function as t → ∞?
calculus
calculus
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
edited Jan 15 at 16:55
Ernest Kucyłyma
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
asked Jan 15 at 16:43
Ernest KucyłymaErnest Kucyłyma
11
11
$begingroup$
Set aside that the maximum velocity is never actually reached, what is the question here?
$endgroup$
– maxmilgram
Jan 15 at 16:53
$begingroup$
what is the physical meaning of A
$endgroup$
– Ernest Kucyłyma
Jan 15 at 16:56
$begingroup$
Please update the original question. Also, what is the last line supposed to tell us?
$endgroup$
– maxmilgram
Jan 15 at 17:01
1
$begingroup$
What have you done so far? Please show more effort. Also this line "t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)" is completely unclear. Furthermore as I said before the max velocity can not be reached. Please include all of these points in the original question.
$endgroup$
– maxmilgram
Jan 15 at 17:14
add a comment |
$begingroup$
Set aside that the maximum velocity is never actually reached, what is the question here?
$endgroup$
– maxmilgram
Jan 15 at 16:53
$begingroup$
what is the physical meaning of A
$endgroup$
– Ernest Kucyłyma
Jan 15 at 16:56
$begingroup$
Please update the original question. Also, what is the last line supposed to tell us?
$endgroup$
– maxmilgram
Jan 15 at 17:01
1
$begingroup$
What have you done so far? Please show more effort. Also this line "t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)" is completely unclear. Furthermore as I said before the max velocity can not be reached. Please include all of these points in the original question.
$endgroup$
– maxmilgram
Jan 15 at 17:14
$begingroup$
Set aside that the maximum velocity is never actually reached, what is the question here?
$endgroup$
– maxmilgram
Jan 15 at 16:53
$begingroup$
Set aside that the maximum velocity is never actually reached, what is the question here?
$endgroup$
– maxmilgram
Jan 15 at 16:53
$begingroup$
what is the physical meaning of A
$endgroup$
– Ernest Kucyłyma
Jan 15 at 16:56
$begingroup$
what is the physical meaning of A
$endgroup$
– Ernest Kucyłyma
Jan 15 at 16:56
$begingroup$
Please update the original question. Also, what is the last line supposed to tell us?
$endgroup$
– maxmilgram
Jan 15 at 17:01
$begingroup$
Please update the original question. Also, what is the last line supposed to tell us?
$endgroup$
– maxmilgram
Jan 15 at 17:01
1
1
$begingroup$
What have you done so far? Please show more effort. Also this line "t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)" is completely unclear. Furthermore as I said before the max velocity can not be reached. Please include all of these points in the original question.
$endgroup$
– maxmilgram
Jan 15 at 17:14
$begingroup$
What have you done so far? Please show more effort. Also this line "t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)" is completely unclear. Furthermore as I said before the max velocity can not be reached. Please include all of these points in the original question.
$endgroup$
– maxmilgram
Jan 15 at 17:14
add a comment |
1 Answer
1
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oldest
votes
$begingroup$
A miles per hour is the upper limit of the velocity of the car.
How could you not know what v(0) is?
Notice v levels off at y = A.
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
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add a comment |
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1 Answer
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$begingroup$
A miles per hour is the upper limit of the velocity of the car.
How could you not know what v(0) is?
Notice v levels off at y = A.
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
$endgroup$
add a comment |
$begingroup$
A miles per hour is the upper limit of the velocity of the car.
How could you not know what v(0) is?
Notice v levels off at y = A.
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
$endgroup$
add a comment |
$begingroup$
A miles per hour is the upper limit of the velocity of the car.
How could you not know what v(0) is?
Notice v levels off at y = A.
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
$endgroup$
A miles per hour is the upper limit of the velocity of the car.
How could you not know what v(0) is?
Notice v levels off at y = A.
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
answered Jan 16 at 2:31
William ElliotWilliam Elliot
9,2642820
9,2642820
add a comment |
add a comment |
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$begingroup$
Set aside that the maximum velocity is never actually reached, what is the question here?
$endgroup$
– maxmilgram
Jan 15 at 16:53
$begingroup$
what is the physical meaning of A
$endgroup$
– Ernest Kucyłyma
Jan 15 at 16:56
$begingroup$
Please update the original question. Also, what is the last line supposed to tell us?
$endgroup$
– maxmilgram
Jan 15 at 17:01
1
$begingroup$
What have you done so far? Please show more effort. Also this line "t(0-28 m/s) 1.9 (s) t(400m) 10.50 (s) tmax 7.1 (s)" is completely unclear. Furthermore as I said before the max velocity can not be reached. Please include all of these points in the original question.
$endgroup$
– maxmilgram
Jan 15 at 17:14