A brick dropped from a roof hits the ground 4.14 seconds later. How high (in m) was the roof?
To find the height of the roof, we can use the equation of motion for an object in free fall:
h = (1/2) * g * t^2
Where:
h is the height of the object (roof)
g is the acceleration due to gravity (approximately 9.8 m/s^2)
t is the time it takes for the object to fall (4.14 seconds)
Plugging in the given values, we can calculate the height of the roof:
h = (1/2) * 9.8 * (4.14)^2
h = 20.236 m
Therefore, the height of the roof is approximately 20.236 meters.
To find the height of the roof, we can use the formula for free fall of an object:
h = (1/2) * g * t^2
Where:
h = height of the roof (in meters)
g = acceleration due to gravity (which is approximately 9.8 m/s^2)
t = time taken for the brick to hit the ground (in seconds)
Plugging in the values given in the problem, we have:
h = (1/2) * 9.8 * (4.14)^2
Simplifying this equation, we get:
h = 0.5 * 9.8 * 17.1396
h = 83.9744 meters
Therefore, the height of the roof is approximately 83.97 meters.