Max Speed to Move from Point A to Point B

AI Thread Summary
The discussion revolves around determining the maximum speed an object must achieve to travel from point A to point B in the least time, given it can accelerate or move at a constant speed. Participants clarify that the object starts from rest, accelerates at a fixed rate, and must decelerate to stop at point B. They debate whether the problem allows for constant speed or if it should only involve acceleration and deceleration phases. The consensus is that basic kinematic equations can be used to solve the problem, focusing on two scenarios: constant velocity and symmetrical acceleration/deceleration. The conversation highlights the need for clear problem wording and assumptions about starting and finishing conditions.
  • #51
Thanks, I did it by saying that the max velocity is when the velocity is constant. I showed it with the SUVAT equations, hope it is right.
 
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  • #52
Davidllerenav said:
Thanks, I did it by saying that the max velocity is when the velocity is constant. I showed it with the SUVAT equations, hope it is right.
That doesn't work if the question intends what I think it does, as laid out in post #39.
With no acceleration, it can never start to move.
 
  • #53
haruspex said:
That doesn't work if the question intends what I think it does, as laid out in post #39.
With no acceleration, it can never start to move.
But if it first goes with a constant acceleratio, then has constant velocity and then desaccelerate with constant acceleration, wouln't it be the max speed when the speed is constant?
 
  • #54
Davidllerenav said:
But if it first goes with a constant acceleratio, then has constant velocity and then desaccelerate with constant acceleration, wouln't it be the max speed when the speed is constant?
Yes, but the task it minimise the total time of travel. How should you apportion the time to the three stages?
 
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