You'll need the time when he reaches full speed. Then you can calculate it with:
Acceleration = 2*distance/(time^2)
If he reached full speed after one second the acceleration would be 150pixels/sec^2, but I'd guess the max speed was reached before one second, so it wouldn't be correct.
You can calculate the speed for any range of frames with:
Speed = distance/time
Where time = frames/60
From your info the speed from 75 to 90 pixels would be 90pixels/sec according to that formula, so he'd already be at max speed.