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Answer:
A body falls from height, h=200m. What is the ratio of distance travelled in each 2s, during the=0 to t=6s of the journey?
For fall of a body it starts from initial velocity u = 0 and due to gravitational acceleration ‘g’ it's velocity go on increasing and thus it desends height faster and faster with passage of time.
The governing equations are :
v at time t = u+gt ….(1)
Desend distance, h in time t , h = ut + 1/2 g t^2 ..(2)
v^2 = u^2 + 2 g h ….(3)
So, in first 2s desend distance h02= 1/2 g 2^2 = 2g
The velocity attained at t = 0 to 2s is gt (eqn 2) or 2g
So, desend distance in next 2s, h24 is ut + 1/2 gt^2 or 2g + 1/2 g 4 or 2g + 2g or 4g
The velocity attained at 2+2 or 4th second is gt or 4g and so desend distance from 4s to 6s h46 is
4g *2 + 1/2 g 2^2 or 8g + 2g or 10g
So ratio of desend distance in steps of 2s up to 6s is 2g:4g:10g or 1:2:5
Explanation:
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Answer:
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