If the track is to be designed so that the passengers

of the roller coaster do not experience a normal force equal

to zero or more than $4$ times their weight, determine the

limiting heights $h_A$ and $h_C$ so that this does not occur. The

roller coaster starts from rest at position $A.$ Neglect friction.

a$.hA=32\mathrm{.}5m,hC=20\mathrm{.}5m$

b$.hA=22\mathrm{.}5m,hc=20\mathrm{.}5m$

c$.hA=32\mathrm{.}5m,hc=12\mathrm{.}5m$

d$.hA=32\mathrm{.}5m,hc=20\mathrm{.}5m$

e$.hA=20\mathrm{.}5m,hc=32\mathrm{.}5m$