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 how far the sandbag will land from the launching station, we need to consider the horizontal motion and the time it takes for the sandbag to reach the ground.
First, let's calculate the time it takes for the sandbag to reach the ground. We know that the balloon stays at an altitude of 202 m for 10.3 s, so the sandbag will also take 10.3 s to reach the ground.
Now, let's calculate the horizontal distance covered by the sandbag during this time. The horizontal speed of the balloon is 2.7 m/s.
Distance = Speed × Time
Distance = 2.7 m/s × 10.3 s
Distance = 27.81 m
Therefore, the sandbag will land approximately 27.81 meters away from the launching station.