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