A meterstick is at rest in a primed frame of reference, with one end at the origin and the other at \(x^{\prime}=1.0 \mathrm{~m}\).

(a) Using the Galilean transformation find the location of each end of the stick in the unprimed frame at a particular time \(t\), and then find the length of the meter stick in the unprimed frame.

(b) Repeat for the case that the stick is laid out along the positive \(y^{\prime}\) axis, with one end at the origin and the other at \(y^{\prime}=1.0 \mathrm{~m}\). What is the length of the stick in the unprimed frame?