3. A cannon ball is shot at the edge of the castle top as shown in the figure. The cannon is located at a distance of 150m from the castle, and the height of the castle is 100m. The initial velocity of the cannon ball has a horizontal component of 60 m/s.

a. (7 points)

It takes how long (time) for the cannon ball to reach the destination?
 
 
 

b. (10 points)

What should be the vertical component of the initial velocity?
 
 
 
 
 
 
 
 
 
 

c. (8 points)

Give the magnitude and direction of the initial velocity.