Physics question on Rate-of-Climb in autopiloting apps.

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If the P4 is capable of climbing at 12 feet per second in their specs, what is the following outcome?

Forward flight of 4 MPH, or about 6 feet per second.
Start point 0' MSL (Waypoint #1)
Wall to climb over (Waypoint #2) is 100 feet tall and 48 feet away from the starting point.

Will the P4 crash into the wall if the rate of climb is insufficient, or is the the app smart enough to know this and perhaps slow the forward speed, or hover and ascend to 100 feet, to climb over it?

My rough calculation is at 48' distance with a 12' rate of climb, is that it will be at 96 feet in altitude and might not clear the wall with the apps. I somehow suspect too that the RofC will not be 12f/s in a forward motion too, but just in hover?

Second scenario:
Let's also say this is based on a high altitude location too of 3,000 feet MSL as the start point. RofC and density altitude less than 12f/s there? Perhaps only 10f/s for RofC?

Gurus?
 
Litchi slows down the pre-planned vertical speed if it can't otherwise reach the waypoint altitude.
 

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