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A spring gun fires a ball (a) up a frictionless incline at an incline angle theta;...

A spring gun fires a ball (a) up a frictionless incline at an incline angle theta; (b) into free air at an angle theta with horizontal. In which case does the ball raise to a greater height?

For each case, find the vertical and horizontal distances between the highest position of the ball and its starting position, given theta=30 degree, the spring constant of the gun k=0.1 N/cm, spring compression distance to fire the ball d=5 cm, and mass of the ball m=10 g.

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