Final Answer:
The person must have dropped the phone from a height of approximately 4.9 meters above you.
Explanation:
Using the equation of motion for an object in free fall, we can calculate the height from which the phone was dropped. The equation is given by h = 0.5 g t², where h is the height, g is the acceleration due to gravity (approximately 9.81 m/s²), and t is the time taken. Plugging in the given values, we get h = 0.5 9.81 m/s² (0.2 s)² = 0.98 m. However, this only gives us the distance from the window to the point where the phone was released.
To find the total height from which the phone was dropped, we need to add the distance fallen past the window to this value. Given that it took 0.2 s for the phone to fall 2 m past the window, we can use the equation d = 0.5 g t² to find the initial height. Rearranging for h, we get h = d + 0.5 g t² = 2 m + 0.5 9.81 m/s^2 (0.2 s)² = 4.9 m.
Therefore, the person must have dropped the phone from a height of approximately 4.9 meters above you.