a. Using the object as a projectile, find the hang time

b. Find the horizontal component of the velocity of the projectile

c. Find the distance the object lands from the dome.

Honestly I really don't know where to begin with this problem; on a previous attempt of the problem using different numbers I used a relationship between potential and kinetic energy, but I was unable to find a suitable answer. Even some help finding the equation of the height would be very helpful. Sorry there isn't an explicit attempt at the solution. Thanks so much in advance!