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A particle is projected vertically upward at the t=0 .It is found at a height 3/4 of its greatest height at times t1 & t2.find the ratio of t2 & t1.

LIPIKA PARUI , 6 Years ago
Grade 11
anser 3 Answers
Arun

Last Activity: 6 Years ago

Dear student
 
If u be the initial velocity
Then
 
Maximum height = u²/2g
 
(3/4) u²/2g = ut - 1/2 gt²
 
t² - (2u/g)t + (3/4)(u²/g²) = 0
 
Now solve for t
 
t will come as
 
t = 3u/g
And
t = u/g
 
Hence
 
Ratio = 1/2

Arun

Last Activity: 6 Years ago

Dear Lipika
 
Sorry for last step
 
Ratio will be 1/3
 
Hope it helps
 
Regards
Arun (askIITians forum expert)

Suraj kumar

Last Activity: 5 Years ago

A particle is projected vertically upward force that if it will be at 3 upon 4 th of its greatest height at times which are the which are the in the ratio of 1:3

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