Answer:
a) v_{p}  = 2.83 m / s
,  b)  50.5º north east
Explanation:
This is a vector problem.
          
The speed of the ball with respect to the ground is the speed of the ball with respect to Mia plus the speed of Mia with respect to the ground
To make the sum we decompose the speed of the ball in its components
The angle of 30 east of the south, measured from the positive side of the x axis is
              θ = 30 + 270 = 300
              =
 =  cos 300
 cos 300
               = v_{b} sin. 300
 = v_{b} sin. 300
              v_{bx} = 3.60 cos 300 = 1.8 m / s
              v_{by} = 3.60 sin 300 = -3,118 m / s
 Let's add speeds on each axis
X axis
             vₓ = v_{bx}
              vₓ = 1.8 m / s
Y Axis  
               = v1 - vpy
 = v1 - vpy
              v_{y} = 5.30 - 3.118
              v_{y} = 2.182 m / s
The magnitude of the velocity can be found using the Pythagorean theorem
                = √ (vₓ² + v_{y}²)
 = √ (vₓ² + v_{y}²)
                v_{p} = √ (1.8² + 2.182²)
                v_{p} = 2,829 m / s
                v_{p}  = 2.83 m / s
b) for direction use trigonometry
               tan θ =  / vₓ
 / vₓ
               θ = tan ⁺¹ v_{y} / vₓ
               θ = tan⁻¹ 2.182 / 1.8
          Tea = 50.48º
This address is 50.5º north east