Question
A brick is vertically dropped from a building at 2m/s to reach the ground after 4s. Calculate the distance the brick fell
Answers
GPT 3.5
To calculate the distance the brick fell, we can use the formula for distance traveled under constant acceleration:
distance = initial velocity * time + 0.5 * acceleration * time^2
In this case, the initial velocity is 2 m/s, the time is 4 s, and we need to find the acceleration.
Since the brick is dropped vertically, we assume it falls under gravitational acceleration, which is approximately 9.8 m/s^2.
distance = 2 m/s * 4 s + 0.5 * 9.8 m/s^2 * (4 s)^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 16 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance ≈ 8 m + 499.2 m
distance ≈ 507.2 m
Therefore, the distance the brick fell is approximately 507.2 meters.
distance = initial velocity * time + 0.5 * acceleration * time^2
In this case, the initial velocity is 2 m/s, the time is 4 s, and we need to find the acceleration.
Since the brick is dropped vertically, we assume it falls under gravitational acceleration, which is approximately 9.8 m/s^2.
distance = 2 m/s * 4 s + 0.5 * 9.8 m/s^2 * (4 s)^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 16 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance = 8 m + 0.5 * 9.8 m/s^2 * 256 s^2
distance ≈ 8 m + 499.2 m
distance ≈ 507.2 m
Therefore, the distance the brick fell is approximately 507.2 meters.
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