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An object fall from height h from rest and travels 0.5h in the last 1.00s. Find the time of its fall.

Thanks!

2007-09-11 14:23:01 · 6 answers · asked by Anonymous in Science & Mathematics Physics

6 answers

last second travel
d2 = 0.5*g*[ t^2 - (t-1)^2]= 0.5*g*[2t-1] = 0.5h

previously travelled distance (during t-1 s)
d1 = 0.5*g* (t-1)^2 = 0.5h

d1 = d2
0.5*g*[t^2 -2*t+1] = 0.5*g*[2t-1]
t^2 -4t + 2 = 0
t = 3.414 s
(other root is < 1, not feasible since fall lasted longer than 1 sec)

h = 57.18 m

2007-09-11 15:14:13 · answer #1 · answered by nosf37 4 · 0 0

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2016-11-10 04:33:34 · answer #2 · answered by Anonymous · 0 0

e(t) = 1/2gt^2 =0.5h
e(t+1) =1/2g(t+1)^2 = h

1/2gt^2 +gt+1/2g =h
gt+1/2g= 0.5h and 1/2 gt^2= 0.5h
gt+1/2g = 1/2gt^2
gt^2-2gt-g=0 t^2-2t-1=0 t= ((2+sqrt8)2 =1+sqrt(2)
t+1= 2+sqrt2 s
Former answer took 0.5 h as 500m (wrongly)

2007-09-11 14:40:24 · answer #3 · answered by santmann2002 7 · 0 0

Let 2h be the total drop distance.
Then 2h= 1/2(9.8) t(total)^2 = 4.9 t(total)^2
And h= 2.45 t(total)^2
But h= 1/2 (9.8) t(h)^2 =4.9 t(h)^2 So.....
t(total)^2=2* t(h)^2
And t(total)=t(h)+1.
You have 2 equations and 2 unknowns
Solve for t(total) and be sure you discard neg root.

2007-09-11 14:36:01 · answer #4 · answered by cattbarf 7 · 0 0

thats not easy i dont know it..lol

2007-09-11 14:29:08 · answer #5 · answered by Amythatsme 3 · 0 0

3.o'clock??? i dunno

2007-09-11 14:30:52 · answer #6 · answered by luv2skater 3 · 0 0

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