The acceleration of the package is [tex]9.8 m/s^2[/tex] towards the ground
Explanation:
After the package is released from the airplane, there is only one force acting on the package: the force of gravity, whose magnitude is
[tex]F=mg[/tex]
towards the ground, where
m is the mass of the package
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
This force acts in the vertical direction, downward, so the acceleration of the package along this direction will be exactly equal to g:
[tex]a=\frac{F}{m}=\frac{mg}{m}=g[/tex]
Along the horizontal direction, there are no forces acting on the package (if we neglect air resistance), so the acceleration in the horizontal direction is zero.
Therefore, the net acceleration of the package will be [tex]9.8 m/s^2[/tex] downward, due to gravity.
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