The relationship between height h (m) and falling time t (s) is h = 4.9t2. One student accidentally let a glass fall freely from a 19.6m high building, just as another student was standing on the ground in the same line with the falling glass. While the glass was falling, the student on the building screamed. At this time, could the student downstairs escape (the speed of sound is 340m / s)?

The relationship between height h (m) and falling time t (s) is h = 4.9t2. One student accidentally let a glass fall freely from a 19.6m high building, just as another student was standing on the ground in the same line with the falling glass. While the glass was falling, the student on the building screamed. At this time, could the student downstairs escape (the speed of sound is 340m / s)?

The falling time of the glass is t = 19.6 △ 4.9 = 2 (s), while the students whose voice reaches downstairs only need 19.6 △ 340 ≈ 0.058 (s) < 2 (s)