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

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SUMMARY

A crate falling from an altitude of 2,000 meters will take approximately 14.14 seconds to strike the ground when neglecting air drag. The calculation utilizes the formula t = d/v, where d is the distance (2,000 m) and v is the acceleration due to gravity (9.8 m/s²). The formula s = ut + 0.5at² confirms that the time of descent is 20.2 seconds when considering gravitational acceleration. However, in a real-world scenario, air resistance must be factored in to determine the actual time of descent.

PREREQUISITES
  • Understanding of basic physics concepts, particularly free fall and gravitational acceleration.
  • Familiarity with kinematic equations, specifically s = ut + 0.5at².
  • Knowledge of the effects of air resistance on falling objects.
  • Basic mathematical skills for solving equations involving distance, time, and velocity.
NEXT STEPS
  • Research the effects of air drag on falling objects using fluid dynamics principles.
  • Learn how to calculate terminal velocity for objects in free fall.
  • Explore advanced kinematic equations that include air resistance factors.
  • Study real-world applications of free fall calculations in aerospace engineering.
USEFUL FOR

Students studying physics, aerospace engineers, and anyone interested in understanding the dynamics of falling objects and the impact of air resistance on their motion.

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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