Normally if we consider only the kinematics we do not consider the force, energy or impulse to cause that motion. State the assumptions that you make to solve the problem. The only information give

Normally if we consider only the kinematics we do not consider the force, energy  or impulse to  cause that motion. State the assumptions  that you make to solve the problem. The only information given to solve the problem are:

-Mass of the projectile

-Horizontal distance between the start point and endpoint of the projectile

-Gravitational acceleration

The solution should give:

1. The initial velocity  vector and final velocity vector
2. Time to reach the target?
3. Energy needed?
4. The impulse to launch the projectile?
5. Spring that would provide the required push with the projectile?
6. what is the best of the many possible trajectories?
7. Is energy conserved?
8. Is the linear momentum conserved?