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**General Physics Homework Question!! Please help!**

A child's pogo stick stores energy in a spring (k= 21000 N/m). At position A (x1=-0.100 m). The spring compression is a maximum and the child is momentarily at rest. At position B (x=0), the spring is relaxed and the child is moving upward. At position C (x2=?), the child is again momentarily at rest at the top of the jump. Assume that the combined mass of the child and pogo stick is 26.0 kg.

a) Calculate the total energy of the system if both potential energies are zero at x=0

Ok, here i got 79.52 J

b) Determine x2.

And here I got 0.312 m

c) Calculate the speed of the child at x=0.

And here I got 2.47 m/s

Here is where I'm having problems!!

d) Determine the value of x for which the kinetic energy of the system is a maximum.

e) Obtain the child's maximum upward speed.