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It would actually make a slight difference, but you would need to know precisely when to jump, and even if you did jump at the right time, it's unlikely you would survive.You would be able reduce your velocity slightly by jumping. As the elevator has a much greater mass, you would be able to accelerate relative to the elevator so that your velocity would be (slightly) less than the elevator when it slowed down rather suddenly.
Think of it this way. If you could jump as fast as free-fall, say on a basket ball court, then you would suffer severe injuries when you landed again.
The problem is that with the jump, a person should accelerate up exactly of the same amount it would accelerate because of the elevator collision with the ground...Syhprum is right.
Quote from: lightarrow on 02/10/2011 20:25:12The problem is that with the jump, a person should accelerate up exactly of the same amount it would accelerate because of the elevator collision with the ground...Syhprum is right.I think that would be true in free-fall, but in this case there is a terminal velocity.
Quote from: Geezer on 02/10/2011 20:32:38Quote from: lightarrow on 02/10/2011 20:25:12The problem is that with the jump, a person should accelerate up exactly of the same amount it would accelerate because of the elevator collision with the ground...Syhprum is right.I think that would be true in free-fall, but in this case there is a terminal velocity.I think instead that you haven't understood well my reply []
Apparently. Are you saying that velocities cannot be summed?
Quote from: Geezer on 04/10/2011 19:13:32Apparently. Are you saying that velocities cannot be summed?What I say is that in order to avoid crashing on the elevator's pavement, you should be shoot up with the same speed in absolute value, with respect to the elevator, that the elevator has before smashing down. Since the elevator's cabin is small, you have little space to make this acceleration (with respect to the cabin), possibly less space than the one the cabin has to decelerate by collision.So you should be shoot up as...a cannon man, and this wouldn't be without consequences, in the sense that your body would be subject to a very high, destroying acceleration.If the elevator's cabin were very tall, it would be different and you would have enough space to accelerate up to the requested speed with little enough average acceleration.