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 does the sandbag land?

d=101 m

Explanation:

The time taken to reach the 202m is given by:

the problem states that the balloonist maintain that altitude for 10.3 seconds more, so:

if the bag falls straight down:

if the bag is affected by the velocity of the wind we need to calculate the time that the bag takes to reach the ground.

the total time would be:

the part of the wave he is travelling on is the crest

that would be because of both gravity and friction. so     c