How long does it take to jump from San francisco bridge? That is how long a person would be in free-fall?
Golden gate bridge elevation is 67 meters.
So using high school physics:
67 = 1/2 * 9.8 * t^2
This gives in my scheme interpreter for time of 3.7 seconds:
(* 9.8 (expt (/ (* 67 2) 9.8) 1/2))
;Value: 36.2381014955254
That is 36.24 m/s!
or:
(* 3.6 (* 9.8 (expt (/ (* 67 2) 9.8) 1/2)))
;Value: 130.45716538389144
130 KM per hour or close 81 M/hour - Nasty!
F = d(MV)/dt
So for a person of 70 KG, assuming the final splash down happens in 1 micro-sec in Newtons:
(/ (* 70 (* 3.6 (* 9.8 (expt (/ (* 67 2) 9.8) 1/2)))) .01)
;Value: 913200.15768724
This is equivalent to 91 TON on top of the person - or close to 45 elephants on Top crushing the bones! Not very nice way to go!
Golden gate bridge elevation is 67 meters.
So using high school physics:
distance = 1/2 g t^2
67 = 1/2 * 9.8 * t^2
This gives in my scheme interpreter for time of 3.7 seconds:
(expt (/ (* 67 2) 9.8) 1/2)
;Value: 3.697765458727081
;Value: 3.697765458727081
Speed
What would his speed be at the time of his free-fall experience broken?
speed = gt
(* 9.8 (expt (/ (* 67 2) 9.8) 1/2))
;Value: 36.2381014955254
That is 36.24 m/s!
or:
(* 3.6 (* 9.8 (expt (/ (* 67 2) 9.8) 1/2)))
;Value: 130.45716538389144
130 KM per hour or close 81 M/hour - Nasty!
Force
What would be the force?F = d(MV)/dt
So for a person of 70 KG, assuming the final splash down happens in 1 micro-sec in Newtons:
(/ (* 70 (* 3.6 (* 9.8 (expt (/ (* 67 2) 9.8) 1/2)))) .01)
;Value: 913200.15768724
This is equivalent to 91 TON on top of the person - or close to 45 elephants on Top crushing the bones! Not very nice way to go!