Solve Max Velocity given Distance, Time, Initial velocity, Acceleration, Deceleration
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For a motor application I wan't to be able to find the maximum velocity I should ask my motor to use knowing:
- Distance to go D
- Time to travel T
- Acceleration a
- Deceleration d
- Initial velocity v0
So that my motor will go from initial position p0 with initial velocity p0 to final position with velocity = 0.
I found several post doing it the other way. Solving for time given maximum velocity. And I have a hard time reversing the equation.
Thank you for your help.
Ben
physics
asked 2 days ago
I33N
31
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I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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up vote
0
down vote
favorite
For a motor application I wan't to be able to find the maximum velocity I should ask my motor to use knowing:
- Distance to go D
- Time to travel T
- Acceleration a
- Deceleration d
- Initial velocity v0
So that my motor will go from initial position p0 with initial velocity p0 to final position with velocity = 0.
I found several post doing it the other way. Solving for time given maximum velocity. And I have a hard time reversing the equation.
Thank you for your help.
Ben
physics
asked 2 days ago
I33N
31
New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Can you write down the solution for time given maximum velocity? If possible, do it by editing your post and using MathJax. The link for reference is here: math.meta.stackexchange.com/questions/5020/…
– 5xum
2 days ago
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
For a motor application I wan't to be able to find the maximum velocity I should ask my motor to use knowing:
- Distance to go D
- Time to travel T
- Acceleration a
- Deceleration d
- Initial velocity v0
So that my motor will go from initial position p0 with initial velocity p0 to final position with velocity = 0.
I found several post doing it the other way. Solving for time given maximum velocity. And I have a hard time reversing the equation.
Thank you for your help.
Ben
physics
asked 2 days ago
I33N
31
New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
For a motor application I wan't to be able to find the maximum velocity I should ask my motor to use knowing:
- Distance to go D
- Time to travel T
- Acceleration a
- Deceleration d
- Initial velocity v0
So that my motor will go from initial position p0 with initial velocity p0 to final position with velocity = 0.
I found several post doing it the other way. Solving for time given maximum velocity. And I have a hard time reversing the equation.
Thank you for your help.
Ben
physics
physics
asked 2 days ago
I33N
31
New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
I33N
31
New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
I33N
31
New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
I33N
31
asked 2 days ago
I33N
31
31
New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I33N is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Can you write down the solution for time given maximum velocity? If possible, do it by editing your post and using MathJax. The link for reference is here: math.meta.stackexchange.com/questions/5020/…
– 5xum
2 days ago
add a comment |
Can you write down the solution for time given maximum velocity? If possible, do it by editing your post and using MathJax. The link for reference is here: math.meta.stackexchange.com/questions/5020/…
– 5xum
2 days ago
Can you write down the solution for time given maximum velocity? If possible, do it by editing your post and using MathJax. The link for reference is here: math.meta.stackexchange.com/questions/5020/…
– 5xum
2 days ago
Can you write down the solution for time given maximum velocity? If possible, do it by editing your post and using MathJax. The link for reference is here: math.meta.stackexchange.com/questions/5020/…
– 5xum
2 days ago
add a comment |
1 Answer
1
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oldest
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0
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accepted
If the vehicle accelerates from velocity $v_0$ to velocity $v_{max}$ over a time $T_1$, then we have
$T_1 = frac{v_{max} -v_0}{a}$
If it then decelerates from velocity $v_{max}$ to rest over a time $T_2$, then we have
$T_2 = frac{v_{max}}{d}$
We know that the total time $T$ must equal $T_1+T_2$, so
$T = frac{v_{max} -v_0}{a} + frac{v_{max}}{d}$
Re-arranging this to solve for $v_{max}$ gives:
$v_{max} = frac{d}{a+d}(aT+v_0)$
answered 2 days ago
gandalf61
7,062522
Thank you for your help!
– I33N
yesterday
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
If the vehicle accelerates from velocity $v_0$ to velocity $v_{max}$ over a time $T_1$, then we have
$T_1 = frac{v_{max} -v_0}{a}$
If it then decelerates from velocity $v_{max}$ to rest over a time $T_2$, then we have
$T_2 = frac{v_{max}}{d}$
We know that the total time $T$ must equal $T_1+T_2$, so
$T = frac{v_{max} -v_0}{a} + frac{v_{max}}{d}$
Re-arranging this to solve for $v_{max}$ gives:
$v_{max} = frac{d}{a+d}(aT+v_0)$
answered 2 days ago
gandalf61
7,062522
Thank you for your help!
– I33N
yesterday
add a comment |
up vote
0
down vote
accepted
If the vehicle accelerates from velocity $v_0$ to velocity $v_{max}$ over a time $T_1$, then we have
$T_1 = frac{v_{max} -v_0}{a}$
If it then decelerates from velocity $v_{max}$ to rest over a time $T_2$, then we have
$T_2 = frac{v_{max}}{d}$
We know that the total time $T$ must equal $T_1+T_2$, so
$T = frac{v_{max} -v_0}{a} + frac{v_{max}}{d}$
Re-arranging this to solve for $v_{max}$ gives:
$v_{max} = frac{d}{a+d}(aT+v_0)$
answered 2 days ago
gandalf61
7,062522
Thank you for your help!
– I33N
yesterday
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
If the vehicle accelerates from velocity $v_0$ to velocity $v_{max}$ over a time $T_1$, then we have
$T_1 = frac{v_{max} -v_0}{a}$
If it then decelerates from velocity $v_{max}$ to rest over a time $T_2$, then we have
$T_2 = frac{v_{max}}{d}$
We know that the total time $T$ must equal $T_1+T_2$, so
$T = frac{v_{max} -v_0}{a} + frac{v_{max}}{d}$
Re-arranging this to solve for $v_{max}$ gives:
$v_{max} = frac{d}{a+d}(aT+v_0)$
answered 2 days ago
gandalf61
7,062522
If the vehicle accelerates from velocity $v_0$ to velocity $v_{max}$ over a time $T_1$, then we have
$T_1 = frac{v_{max} -v_0}{a}$
If it then decelerates from velocity $v_{max}$ to rest over a time $T_2$, then we have
$T_2 = frac{v_{max}}{d}$
We know that the total time $T$ must equal $T_1+T_2$, so
$T = frac{v_{max} -v_0}{a} + frac{v_{max}}{d}$
Re-arranging this to solve for $v_{max}$ gives:
$v_{max} = frac{d}{a+d}(aT+v_0)$
answered 2 days ago
gandalf61
7,062522
answered 2 days ago
gandalf61
7,062522
answered 2 days ago
gandalf61
7,062522
answered 2 days ago
gandalf61
7,062522
7,062522
Thank you for your help!
– I33N
yesterday
add a comment |
Thank you for your help!
– I33N
yesterday
Thank you for your help!
– I33N
yesterday
Thank you for your help!
– I33N
yesterday
add a comment |
I33N is a new contributor. Be nice, and check out our Code of Conduct.
I33N is a new contributor. Be nice, and check out our Code of Conduct.
I33N is a new contributor. Be nice, and check out our Code of Conduct.
I33N is a new contributor. Be nice, and check out our Code of Conduct.
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Can you write down the solution for time given maximum velocity? If possible, do it by editing your post and using MathJax. The link for reference is here: math.meta.stackexchange.com/questions/5020/…
– 5xum
2 days ago