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NEET Class neet Answered

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Asked by adititiwari601 | 30 Jun, 2022, 08:08: AM
answered-by-expert Expert Answer
If h is the vertical displacement for the particle that is projected upwards with speed u
after time t is given as
 
begin mathsize 14px style h space equals space u space t space minus space 1 half space g space t squared end style
Above expression is written as
 
begin mathsize 14px style g space t squared space minus space 2 space u space t space plus space h space equals space 0 end style
Roots of above quadratic equation are
 
begin mathsize 14px style t subscript 1 space equals space fraction numerator u space minus space square root of u squared minus g h end root over denominator g end fraction end style    and    begin mathsize 14px style t subscript 2 space equals space fraction numerator u space plus square root of u squared minus g h end root over denominator g end fraction end style
t1 and t2 are the corresponding times when the particle reaches the height h
during ascending and descending motion.
 
We get , begin mathsize 14px style t subscript 1 space plus space t subscript 2 space equals space fraction numerator 2 space u over denominator g end fraction end style
From above expression we get , begin mathsize 14px style u space equals space fraction numerator g space left parenthesis space t subscript 1 plus t subscript 2 right parenthesis over denominator 2 end fraction end style
Answered by Thiyagarajan K | 30 Jun, 2022, 01:10: PM
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