When under the spell, each 3 feet you jump uses up 1 foot of your movement for the round (a sort of "easy terrain").
Would you suffer falling damage? A Jump boosted fighter with 20 Str clears 24 ft vertical.
24 ft vertical would be for a high jump. For jumping over the front line, rules say you can clear "a quarter of the jump's distance" or 15 feet (60ft / 4). That's still enough to jump above (most) enemies less than 10 feet tall and avoid their reach.
In either case, I would also rule that specific beats general here and the magic-enhanced jumper does not incur falling damage. Otherwise the spell becomes rather limited in use. The fighter might suck up the falling damage, but falling prone at the end due to falling damage would not be great.
For a physical jump the landing speed, acceleration, & force are the same as those at launch. So, if your body can withstand the jump, it can handle the landing....
In either case, I would also rule that specific beats general here and the magic-enhanced jumper does not incur falling damage. Otherwise the spell becomes rather limited in use. The fighter might suck up the falling damage, but falling prone at the end due to falling damage would not be great.