A stone falls from a tower and travels 100m in the last second before it reaches the ground. Find the height of the tower
561 m
157
561
To find the height of the tower, we need to use the kinematic equation that relates the distance traveled by an object to its initial velocity, time, and acceleration.
The equation we will use is:
s = ut + (1/2) * a * t^2
Where:
s = distance traveled
u = initial velocity (in this case, 0 m/s as the stone falls from rest)
t = time
a = acceleration (in this case, due to gravity, which is approximately 9.8 m/s^2)
Given that the stone traveled 100m in the last second before it reaches the ground, we can write:
100 = 0 * 1 + (1/2) * 9.8 * 1^2
Simplifying the equation:
100 = 0 + 4.9
This equation is not possible since the left side of the equation is 100 and the right side is 4.9. It appears that there might be an error or a missing piece of information in the question. Please double-check the problem statement or provide any additional information that might be missing.