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(a) What is the minimum speed v0 required if the car is to travel beyond the top of the hill?

Since there is no friction or air resistance then all the energy is conserved.

There is no external work so the equation is:

Ui + Ki = Uf + Kf

H1 = 4.1m

H2 = 4.6m

If I take y=0 on the first section of track.

Would I need to do the equation twice since there are two Heights involved?

Like Ui = 0 and Uf be MG(-H1)

2nd equation

Ui = MG(-H1) and Uf be MG(H2)