Answer:
(a) 33.3 rad/s
(b) 500 N
(c) 40.8 m
Explanation:
Angular velocity
is given by
Where v is linear velocity and r is radius of circle

Angular velocity is 33.3 rad/s
(b)
Velocity, v is calculated as
where r is radius of circle and t is time
Making r the subject of the formula
r=vt
In this case, t=20 ms converted to seconds will be 20/1000=0.02 s
r=20*0.02=0.4m
Force,
where m is mass and
is centripetal acceleration
Therefore

Force=500 N
(c)
Maximum range covered by the football
where g is gravitational constant taken as 9.8,
is 45 and v is 20 m/s

Maximum range covered is 40.8 m