QUOTE(TheDoer @ Sep 16 2010, 09:42 AM)

Here is a Q that I can't wrap my brain around.
1. If you are on top of a train, running from back to front, does that mean that you're going faster than the train?
2. If you were to jump off the train after the initial run, will your distance be farther than if you jumped without running?
3. If you dropped a rock from the train to hit an oncoming signboard. will the impact be the same as if you were to throw that same rock at that sign board (while on that train)?
Explanation and links appreciated.
A suggestion: post this somewhere else where more physics people around.
1. question 1 is ill defined. Notice velocity (speed of train) is always relative to a frame of references (ie where you make the measurement). For example, I can measure the speed of train from ground (60km/h, for example) or I can measure speed of train while I'm standing on the train itself (which makes 0km/h measurement). In the later case, I'll measure the ground move with speed -60km/h.
assume ground as reference, yes.
2. Assuming you measure relatively to the ground, yes. Lets say I stand on ground, looking at train running on 60km/h and YOU run on the train at speed 10km/h (you, relative to train), I'll see you moving away from me by 70km/h. This basically mean you move faster! *notice I assumed gallelian relativity, not special relativity*
3. Err. i don't understand. XP