Physics 12 Projectiles Question

1. The problem statement, all variables and given/known data



A marble is accelerated to a horizontal velocity of 0.50 m/s by rolling it down a small ramp. The marble rolls off the table, which is 0.78 m high. As it falls, it hits a barrier on the way down. If the barrier is 0.15 m from the edge of the table, at what height from the ground, h, will the marble hit the barrier?





2. Relevant equations



d = (Vi)(t) + 1/2(a)t/2



Vf =Vi + at



(Vf)2 = (Vi)2 + 2ad



3. The attempt at a solution



I wasn't really sure how to start it, but first I found the time it would take for the marble to fall off the table:



Using vertical components:



d = (Vi)(t) + 1/2(a)(t)2

-0.78 = (0)(t) + (1/2)(-9.8)t2

-0.78 = -4.9t2

t = 0.40s



I don't know if that ^ is right, and I'm not really sure what I should do next. Any help would be greatly appreciated!