Please big brained individuals, I can't figure this out, not homework, just a scenario I thought of.
Let's say that there's an object inside a straight pipe. The object is at point O.
There's no acceleration at point O, but when you move away from point O, you suffer an acceleration of a magnitude equal to the distance from O in the direction of O.That is to say, at 1m away you suffer an acceleration of -1m/s2, at -2m you suffer an acceleration of 2m/s2.
Ignoring friction and such, let's say at Ti=0 seconds you give the object a jolt that sends it away at an initial velocity of 10m/s away from O...
What's the equation to tell at wich point x would the object be at time t? What confuses me is that the acceleration that the object is suffering depends on how far it is from the origin, but how far it is from the origin depends on how much it was accelerated, so it looks that one term (acceleration, that I would need to integrate) depends on the whole.
Let's say that there's an object inside a straight pipe. The object is at point O.
There's no acceleration at point O, but when you move away from point O, you suffer an acceleration of a magnitude equal to the distance from O in the direction of O.That is to say, at 1m away you suffer an acceleration of -1m/s2, at -2m you suffer an acceleration of 2m/s2.
Ignoring friction and such, let's say at Ti=0 seconds you give the object a jolt that sends it away at an initial velocity of 10m/s away from O...
What's the equation to tell at wich point x would the object be at time t? What confuses me is that the acceleration that the object is suffering depends on how far it is from the origin, but how far it is from the origin depends on how much it was accelerated, so it looks that one term (acceleration, that I would need to integrate) depends on the whole.
