Answer:
The ball is in the air for 3.5 seconds 
The initial horizontal component of velocity is 28.6 m/s 
The vertical component of the final velocity is 34.3 m/s downward
The final velocity is 44.7 m/s in the direction 50.2° below the horizontal
Explanation:
A ball is thrown horizontally
That means the vertical component of the initial velocity 
The initial velocity is the horizontal component 
The ball is thrown from the top of a 60 m 
That means the vertical displacement component y = 60 m
→ y =  t +
 t +  gt²
 gt²
where g is the acceleration of gravity and t is the time
y = -60 m , g = -9.8 m/s² , 
Substitute these values in the rule
→ -60 = 0 +  (-9.8)t²
 (-9.8)t²
→ -60 = -4.9t²
Divide both sides by -4.9
→ 12.2449 = t²
Take √ for both sides
∴ t = 3.5 seconds
* <em>The ball is in the air for 3.5 seconds </em>
The initial velocity is the horizontal component 
The ball lands 100 meter from the base of the building
That means the horizontal displacement x = 100 m
→ x =  t
 t
→ t = 3.5 s , x = 100 m
Substitute these values in the rule
→ 100 =  (3.5)
 (3.5)
Divide both sides by 3.5
→  = 28.57 m/s
 = 28.57 m/s
<em>The initial horizontal component of velocity is 28.6 m/s</em>
The vertical component of the final velocity is 
→  =
 =  + gt
 + gt
→  = 0 , g = -9.8 m/s² , t = 3.5 s
 = 0 , g = -9.8 m/s² , t = 3.5 s
Substitute these values in the rule
→  = 0 + (-9.8)(3.5)
 = 0 + (-9.8)(3.5)
→  = -34.3 m/s
 = -34.3 m/s
<em>The vertical component of the final velocity is 34.3 m/s downward</em>
The final velocity v is the resultant vector of   and
 and 
→ Its magnetude is 
→ Its direction 
→  = 28.6 ,
 = 28.6 ,  = -34.3
 = -34.3
Substitute this values in the rules above
→ 
→ Its direction 
The negative sign means the direction is below the horizontal
<em>The final velocity is 44.7 m/s in the direction 50.2° below the horizontal</em>