the displacement x of a particle moving in One dimension under the action of constant force is related to time T by the relation t is equal to under root( x + 3) where X is in metre 30 in second find the displacement of particle when velocity is zero
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Answer:
zero
Explanation:
Velocity is a rate of change of displacement. relationship between displacement and time as: t = x ^(1/2) + 3
Squaring both sides gives, x = (t-3)^2
Taking first derivative with respect to time, gives velocity = 2(t-3)
Using above, at t=3 velocity will be zero.
To calculate displacement at t=3, let's use equation where displacement is given as a function of time i.e. x = (t-3)^2
Solving this gives x=0
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