Crate Freefall Calculation: Air Drag at 2,000m Altitude

AI Thread Summary
A crate falling from an altitude of 2,000 meters, neglecting air drag, will take approximately 14.14 seconds to reach the ground. The calculation uses the formula t = d/v, where d is the distance and v is the acceleration due to gravity, approximately 9.8 m/s². The formula s = ut + 0.5at² confirms this time, with the crate's initial velocity being zero. However, in reality, air resistance would slow the crate's descent, necessitating adjustments to the calculation for a more accurate time. Therefore, while the theoretical time is 14.14 seconds, actual conditions would result in a longer fall time.
espo
a crate falls from an airplane flying horizontally at an altitude of 2,000 m. neglecting air drag, howlong will the crate take to strike the ground/ is the formula t = d/v help
 
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Code:
First write out what you know:

u = 0 m/s
v = v
a = 9.81 m/s[sup]2[/sup]
s = 2000 m
t = t

then pick the appropriate formula:

s = ut + 0.5at[sup]2[/sup]
2000 = 4.905 * t[sup]2[/sup]
t[sup]2[/sup] = 407.7
t = 20.2 s
 


Neglecting air drag, the crate will take approximately 14.14 seconds to strike the ground. This calculation can be determined using the formula t = d/v, where t is the time, d is the distance, and v is the velocity. In this scenario, the distance is 2,000 m (the altitude) and the velocity is the acceleration due to gravity, which is approximately 9.8 m/s^2. Therefore, t = 2,000/9.8 = 14.14 seconds. This formula is helpful in determining the time it takes for an object to fall a certain distance under the influence of gravity, but it does not account for air resistance or drag. In reality, the crate would experience air resistance, which would slow down its descent and affect the actual time it takes to strike the ground. To calculate the exact time, the air resistance would need to be taken into consideration.
 
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