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ICSE Class 10 Answered

A stone is thrown vertically downwards and the formula d=16t^2+14t gives the distance d metres ,that it falls in t seconds. How long diea it take to fall 420 metres?
Asked by Aviral | 30 Jan, 2019, 09:57: AM
answered-by-expert Expert Answer
from given eqn. :  16t2 +14t = 420
 
8t2 +7t - 210 =0 ................(1)
 
from roots of quadratic eqn.(1), we have begin mathsize 12px style t space equals space fraction numerator negative 7 plus-or-minus square root of 49 plus 4 cross times 210 cross times 8 end root over denominator 16 end fraction space space end style
from acceptable root, we get t = 4.7 s
Answered by Thiyagarajan K | 30 Jan, 2019, 10:16: AM
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