experiencing a constant horizontal 1.10 m/s wind, a hot air balloon ascends from the launch site at a constant vertical speed of 2.70 m/s. at a height of 202 m, the balloonist maintains constant altitude for 10.3 s before releasing a small sandbag. how far from the launch site will the sandbag land?

Answer 1

Are you to ignore the effect of wind on the sandbag? I assume so.

Time in air:
10.3+202/2.70 seconds
distance horizontal from launch :
1.1(timeinAir).

If it bag falls straight down, then that horizontal distance is it.

Now if the wind moves the sandbag, you have to add in time it takes to fall 202 meters (sqr(2*202/9.8) seconds, times the wind speed.