1) 200m
He traveled 100m/s horizontal for 2 seconds.
2) 30m/s
We need horizontal speed in m/s. We have the meters, 60m, we just need time. We can get the time by figuring out how long it takes the ball to drop 20m.
The formulas are a pain to type so I used my dry-erase board. Here's a pic
http://i55.tinypic.com/1zwnk34.jpgv
i is the initial (vertical in this case) velocity, which is 0 because the ball was thrown vertically
The square root gets chopped off to retain precision because the least significant digit in the problem was *10^1 (the 20m and 60m)
Now just 60m / 2s = 30m/s
You're actually supposed to do significant figures only at the end of a problem but I forget and didn't want to take another picture.
3) Same deal as before but with different numbers. d=500m, which ends up making t=10.096375s
now 400m/10.096375s = 39.61817979m/s, use sigfigs to get 40m/s.