1. A runner with an initial velocity of 0.50 m/s and a constant
acceleration of 0.80 m/s2 reaches a final velocity of m/s in 2.5
seconds.

​
∣=
2
​
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
​
(2cos
2
\alp−1)
∣
N
2
c
o
s
(
\alp
−
π
4
)
∣
=
N
2
c
o
s
(
2
\alp
)
\Right
\alp
∈
[
0
;
π
4
]
∪
[
3
π
4
;
π
]
∣N
2
​
cos(\alp−
4
π
​
)∣=N
2
​
cos(2\alp)\Right\alp∈[0;
4
π
​
]∪[
4
3π
​
;π]
1)
\alp
∈
[
0
;
π
4
]
\alp∈[0;
4
π
​
]

Since the pully is a simple machine so the mechanical advantage is a 1