Good day to you all,
I have the following fixed values: -Acceleration = 1000 mm/s2 - (Aa)Time is totally variable/infinite and not a factor
Deceleration = -400 mm/s2 - (Ad)
Total Distance = 450 mm - (St)
The object starts from velocity(u1) and accelerates a distance (Sa)to reach a velocity of Vm.
It then decelerates from velocity Vm a distance (Sd)to final velocity (V2).
Distance Sa and Sd have to total the full distance travelled - St
I would like to know the maximum velocity reached by the object.
From this I can the easily calculate the distance Sa and Sd.
Now I believe that..........
So if acceleration distance
Then we can substitute Sa in above to get: -
Combining gives us
I have tried multiply out and simplifying and in all honesty disappeared up .......
If I am right on the track, and that would be great!
Can one of you gurus simplify it and solve for Vm for two states: -
- Values of starting velocity U1 and finishing velocity V2 both are 0
- Given any starting velocity U1 and finishing velocity V2 if that's possible
Thank you so much