A particle initially at rest moves along a straight line with acceleration given by a= 4t - 2. The particle will be again at rest at time 

Asked by arushidabhade | 8th Jul, 2019, 08:30: PM

Expert Answer:

begin mathsize 12px style a c c e l e r a t i o n space comma space space a space space equals space fraction numerator d v over denominator d t end fraction space equals space 4 t space minus space 2
d v space equals space left parenthesis 4 t space minus space 2 right parenthesis space d t
integral subscript 0 superscript V d v space equals space integral subscript 0 superscript T left parenthesis 4 t space minus space 2 right parenthesis space d t space space
V space equals space 2 T squared space minus space 2 T space equals space 2 T left parenthesis T minus 1 right parenthesis
V space w i l l space b e space z e r o space w h e n space T space equals space 1 space s end style

Answered by Thiyagarajan K | 8th Jul, 2019, 11:22: PM

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