Question 1055903: A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and  for which its velocity is zero
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and for which its velocity is zero
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s= 2t + sin(4t)
v = 1st derivative of displacement.
s' = 2 + 4cos(4t) = 0
cos(4t) = -1/2
4t = 2pi/3, 8pi/3, 14pi/3, 20pi/3
t = pi/6, 2pi/3, 7pi/6, 5pi,3
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4t = 4pi/3, 10pi/3, 16pi/3, 22pi/3
t = pi/3, 5pi/6, 4pi/3, 11pi/6
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