An object is dropped from a platform100 ft high. Ignoring wind resistance, how long will it take to reach the ground?
y = Vi(t) + 1/2(a)(t^2)
400 = (0m/s)t + 1/2(9.8)(t^2)
use the quadratic equation to solve for t
To find the time it takes for the object to reach the ground, we can use the equation for the distance traveled by a falling object under the influence of gravity:
d = 0.5 * g * t^2
where:
d = distance traveled (100 ft in this case)
g = acceleration due to gravity (approximately 32.2 ft/s^2)
t = time
Since we are looking for the time it takes for the object to reach the ground, the distance traveled (d) is 100 ft. We can rearrange the equation to solve for time (t):
t = √(2d / g)
Substituting the values:
t = √(2 * 100 ft / 32.2 ft/s^2)
Now we can calculate the time it takes for the object to reach the ground.