The problem involves determining the maximum speed of a subway train given a maximum acceleration and the distance between stations. The context is rooted in kinematics, specifically relating to motion with constant acceleration and deceleration.
There is an ongoing exploration of how to approach the problem, with some participants providing guidance on the need to consider both acceleration and deceleration phases. Multiple interpretations of the problem setup are being discussed, particularly regarding the distance and time calculations.
Participants express uncertainty about the calculations and the setup of the problem, indicating a need for clarification on the assumptions regarding motion between the stations.
It is also possible that the train attains maximum speed with maximum acceleration, moves certain distance and then again slows down with maximum retardation before coming stop.kuruman said:First off, you are not calculating a speed. You are calculating how long it will take the train to reach the next station if it were accelerating all the way.
You need to consider that the train will have to accelerate at the maximum acceleration for half the distance and then decelerate at the same maximum but opposite acceleration for the other half of the distance so that it is at rest when it reaches the next station. The maximum speed that problem is asking is attained at the half-way point.
rl.bhat said:It is also possible that the train attains maximum speed with maximum acceleration, moves certain distance and then again slows down with maximum retardation before coming stop.
jrk613t said:so I would want to solve for t right? The time it will take? also should i cut the distance (d) in half to 349.5? Sorry, I'm just not very good at this but thank you very much for any help.