Displacement of an object is related with time as t = √x+3. Calculate the time when velocity is zero.
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Explanation:
t=√x +3
√x= t-3
x= (t-3)²
x= t²-6t +9
we know velocity =dx/dt
so v= d(t²-6t+9)/ dt
v= 2t-6 (differentiation of t² is 2t and 6t is 6 and of 9 is 0)
we have to find when v is 0
so, 2t-6=0
2t=6
which means t=3 second
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