In rectilinear uniformly accelerated motion without initial velocity, the body passed 3 m in the first second.

In rectilinear uniformly accelerated motion without initial velocity, the body passed 3 m in the first second. What path will this body cover in 2 s? in 3 s?

the equation of motion has the form
S = Xo + vt + at ^ 2/2
by the conditions of the problem, Xo and V are assumed to be zeros
S = at ^ 2/2
we know that in 1 second the body has passed 3 m
3 = a / 2
whence a = 6 m / s ^ 2
means
S (2) = 6 * 2 ^ 2/2 = 12 m.
S (3) = 6 * 3 ^ 2/2 = 27 m.



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