A hot air balloon starts at its launching station and it goes at a horizontal speed of 2.7 m/s and a vertical wind of 1.1 m/s. Once it reaches an altitude of 202 m, it stays at that altitude for 10.3 s, which is when it drops a sandbag. How far will the sandbag land from the launching station?

To find out how far the sandbag will land from the launching station, we need to determine the horizontal distance traveled by the hot air balloon during the time it remained at an altitude of 202 m.

First, let's calculate the time it took for the balloon to reach an altitude of 202 m. Since we know the vertical speed of the balloon is 1.1 m/s, we can use the equation:

time = distance / speed

time = 202 m / 1.1 m/s

The time comes out to be approximately 183.64 seconds.

Now, we need to calculate the horizontal distance traveled by the balloon during this time. Since the horizontal speed of the balloon is given as 2.7 m/s, we can multiply the horizontal speed by the time:

distance = speed * time

distance = 2.7 m/s * 183.64 s

The distance comes out to be approximately 495.83 meters.

Therefore, the sandbag will land approximately 495.83 meters away from the launching station.