Acceleration:
1.6
m
s
2
Distance:
20
.
m
Explanation:
We can use the equation
v
x
=
v
0
x
+
a
x
t
To find the acceleration, assuming it's constant, of this motion. The initial velocity
v
0
x
is
0
, as it started from rest. Thus, the acceleration is
a
x
=
v
x
t
=
8.0
m
s
5
s
=
1.6
m
s
2
Now, to find the distance
Δ
x
the skier travels, we'll use the equation
Δ
x
=
v
0
x
t
+
1
2
a
x
t
2
Plugging in known variables, the distance
Δ
x
the skier traveled is
Δ
x
=
(
0
)
(
5.0
s
)
+
1
2
(
1.6
m
s
2
)
(
5.0
s
)
2
=
20
.
m
