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CBSE Class 11-science Answered

A particle moves along straight-line OX. At time t(in seconds) the distance x(in metres) from O is given by: x = 40 + 12t - t³. How long the particle travels before coming to rest? a) 16 m b) 21 m c)40 m d)56 m
Asked by 0 JAGLAN | 08 Aug, 2020, 10:47: PM
answered-by-expert Expert Answer
x equals 40 plus 12 t minus t cubed
v equals fraction numerator d x over denominator d t end fraction
v equals 12 minus 3 t squared
W h e n space i t space c o m e s space t o space r e s t space v equals 0
0 equals 12 minus 3 t squared
t equals 2
O n space p u t t i n g space x equals 2 space i n space x equals 40 plus 12 t minus t cubed
x equals 40 plus 12 cross times 2 minus 2 cubed
x equals 56 m
Answered by Utkarsh Lokhande | 09 Aug, 2020, 01:32: PM
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