Problem #6. [10 pts.] The equation of motion of a falling body is
y=y_(0)+v_(0)t+(1)/(2)gt^(2)
Using dimensional analysis, find dimensionless
parameters y^(*),t^(*), and g^(*) such that
y^(*)=1+t^(*)+g^(*)(t^(*))^(2)
(y^(* )\alpha y, t^(*)\alpha t, g * \alpha g.)