3) A projectile is launched with speed v₀ at an angle α₀ above the horizontal. The launch point is a height H above the ground. Ignore air resistance.
(a.) Find the horizontal velocity of the projectile.
(b.) Find the time for projectile to reach its maximum height.
(c.) Find the maximum height above the ground the projectile reaches.
(d.) Find the time it takes the projectile to fall to the ground from its maximum height.
(e.) Find the horizontal distance the projectile travels before striking the ground.
I'm generally taught not to memorize any equations, but I'm capable of deriving five kinematic equations, and know enough trigonometry to make use of vector components
The Attempt at a Solution
I've actually answered parts (a.) through (c.), but I can't figure out the rest because I don't exactly know how I can take into account the extra height given by the launch height H.