|Sep17-03, 07:43 PM||#1|
avg and instantaneous accel question
I am having trouble with this problem:
A particle leaves the origin with an initial velocity v = (3.00i) m/s and a constant acceleration a = (-1.00i - 0.500j) m/s^2. When the particle reaches its max x coordinate, what are a)it's velocity and b) its position vector.
Am I to assume that at the max the v = 0 m/s? That means I've got to assume that the motion is a parabola, but I don't think that I have enough information to assume that. Or do I? I would just like to know how to start this problem out. Can someone lead me in the right direction? Thanks!
|Sep17-03, 07:47 PM||#2|
I think considering at max x, the x component of v (but not neccessarily the y!) to be zero is pretty reasonable, as you are looking for turning points.
|Sep18-03, 05:13 AM||#3|
If v> 0 then the particle is still moving to the right: it's not yet at it's maximum x value.
If v< 0 then is already moving to the left: it's coming back from it's maximum x value.
In either case, the particle is not AT it's maximum x value.
In order to be AT it's maximum x value, the particle's speed MUST be 0- that's not an "assumption"!
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