A toy gun shoots marbles by means of a spring. A marble has a mass of .05 kg. The spring used has a spring constant of 30 N/m. When loaded, the marble is displaced an amount of .07 m. The barrel of the gun exerts a slight force of friction on the marble of .075 N as it moves from its starting point a total length of .18 m. If the toy gun is fired horizontally,
a) at what position from the starting point does the marble reach maximum velocity?
b) what is the maximum speed achieved by the marble?
c) how far will it travel if the gun is positioned 2 meters above the ground