Prove these two please please please please please please please
Pratik , 6 Years ago
Grade 11
Mechanics> Prove these two please please please plea...
1 AnswersAshmit Kumar
Last Activity: 6 Years ago
To prove:-(u/g)+√{(u/g)^2+(2h/g)}
Since, the balloon is ascending upwards so when we drop the package it's velocity will be negative of that of balloon's velocity.
We know,
S=ut+1/2(at^2)
So, h= -ut + (gt^2)/2
By solving, we get-
gt^2-2ut-2h=0
By sri dharacharya's method,
t={2u+-√(4u^2+8gh)}/2g
By simplifying, we get
t={u+√(u^2+2gh)}/g
t=u/g + √{(u^2/g^2) + 2gh/g^2}
Hence,
t=u/g + √{(u/g)^2+2h/g}.
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