Answer:
To find the final velocity of the object, we can use the formula for uniformly accelerated motion:
�
2
=
�
2
+
2
�
�
v
2
=u
2
+2as
Where:
�
v is the final velocity
�
u is the initial velocity
�
a is the acceleration
�
s is the distance
Given:
�
=
20
m/s
u=20m/s
�
=
5
m/s
2
a=5m/s
2
�
=
10
m
s=10m
Plugging the values into the formula:
�
2
=
(
20
m/s
)
2
+
2
×
(
5
m/s
2
)
×
(
10
m
)
v
2
=(20m/s)
2
+2×(5m/s
2
)×(10m)
�
2
=
400
m
2
/
s
2
+
2
×
5
m/s
2
×
10
m
v
2
=400m
2
/s
2
+2×5m/s
2
×10m
�
2
=
400
m
2
/
s
2
+
100
m
2
/
s
2
v
2
=400m
2
/s
2
+100m
2
/s
2
�
2
=
500
m
2
/
s
2
v
2
=500m
2
/s
2
Taking the square root of both sides to solve for
�
v:
�
=
500
m
2
/
s
2
v=
500m
2
/s
2
�
≈
22.36
m/s
v≈22.36m/s
So, the final velocity of the object is approximately
22.36
m/s
22.36m/s.