two students working on physics assignment to find out how far window is from the roof of a building drop a ball over the edge of the roof the ball takes .1 seconds to travel from the top of the window to its bottom of a distance of 1 m assume the acceleration of gravity to be 10 m/s2 in this problem and calculate the distance from the edge of the roof to the top of the window
4.5m
To calculate the distance from the edge of the roof to the top of the window, we need to use the equations of motion for a free-falling object.
The equation we will use is:
d = (1/2) * g * t^2
where:
- d is the distance traveled by the ball (from the top of the window to the bottom),
- g is the acceleration due to gravity (10 m/s^2),
- t is the time taken by the ball to travel the distance (0.1 seconds).
Substituting the given values into the equation:
d = (1/2) * 10 m/s^2 * (0.1 s)^2
= (1/2) * 10 m/s^2 * 0.01 s^2
= 0.5 m
Therefore, the distance from the edge of the roof to the top of the window is 0.5 meters.