a ball dropped from a window strikes the ground 2.99s later.
how high is the window?
3m
To determine the height of the window from which the ball was dropped, we can use the equation of motion for vertically freely falling objects.
The equation is:
h = (1/2)gt^2
Where:
h = height of the window
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time taken for the ball to hit the ground (2.99 seconds in this case)
Now, let's solve for the height of the window:
h = (1/2)gt^2
= (1/2)(9.8 m/s^2)(2.99 s)^2
= (1/2)(9.8 m/s^2)(8.94 s^2)
≈ 44.03 meters
Therefore, the height of the window is approximately 44.03 meters.