Question:
When a human is shot out of a cannon at the circus,
how does he not get hurt and how do you know how far to
put the net to catch him?
Replies:
I am not sure why he does not get hurt, but as long as the acceleration
caused by the cannon explosion is not too great (less than 5 times
that of gravity say) then it is probably ok. How they know
how far to put the net is actually pretty easy - any projectile
that gets shot at a certain initial speed and velocity always
lands in the same place, so they just need to know where he
landed last time. If the initial speed and direction are
subject to variations, then they need to use a bigger net to make
sure the variations do not make him hit the ground. The whole
subject of what angle to shoot cannons at to reach points a certain
distance away was of course very important for military purposes
a few centuries back (and of course some of that stuff is still
useful in modern wars).
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