An object is dropped from a platform 400 ft high. Ignoring wind resistance, how long will it take to reach the ground?
IDK THATS WHY I WAS LOOKING IT UP
To find the time it takes for an object to fall, we can use a formula from physics known as the "equation of motion" or "kinematic equation." Specifically, we will utilize the equation for displacement in the vertical direction:
d = (1/2) * g * t^2
where:
- d is the displacement (which is 400 ft in this case)
- g is the acceleration due to gravity (approximately 32.2 ft/s^2 on Earth)
- t is the time
Now, let's rearrange the equation to solve for time (t):
t^2 = (2 * d) / g
Now, we can plug in the values:
t^2 = (2 * 400) / 32.2
t^2 ≈ 24.84
Taking the square root of both sides, we get:
t ≈ √24.84
Calculating that value, we find:
t ≈ 4.98 seconds
Therefore, it will take approximately 4.98 seconds for the object to reach the ground when dropped from a 400 ft platform, ignoring wind resistance.
An object is dropped from a platform 400 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