When objects are in free fall near Earth's surface, they experience the same acceleration due to gravity regardless of their masses. This acceleration is approximately 9.81 m/s².
For object A:
Mass, m
Time, t = 2.0 s
Acceleration due to gravity, g ≈ 9.81 m/s²
The speed of object A after 2.0 seconds of free fall can be calculated using the equation of motion:
�
�
=
�
�
v
A
=gt
Substituting the values:
�
�
=
(
9.81
�
/
�
2
)
(
2.0
�
)
=
19.62
�
/
�
v
A
=(9.81m/s
2
)(2.0s)=19.62m/s
Now, let's find the distance fallen by object A. You can use the following equation of motion:
�
�
=
1
2
�
�
2
d
A
=
2
1
gt
2
Substituting the values:
�
�
=
1
2
(
9.81
�
/
�
2
)
(
2.0
�
)
2
=
19.62
�
d
A
=
2
1
(9.81m/s
2
)(2.0s)
2
=19.62m
For object B:
Mass, 2m
Time, t = 2.0 s
Acceleration due to gravity, g ≈ 9.81 m/s²
Object B will experience the same acceleration due to gravity, so its speed and distance fallen after 2.0 seconds will be the same as object A:
Speed of object B after 2.0 s:
�
�
=
19.62
m/s
v
B
=19.62m/s
Distance fallen by object B after 2.0 s:
�
�
=
19.62
m
d
B
=19.62m
So, both object A and object B will have a speed of 19.62 m/s and will have fallen a distance of 19.62 meters after 2.0 seconds of free fall.