Answer
given,
intial velocity = 504 mph
wind speed = 219 mph
at an angle of 29◦
from the data
The resultant velocity =
[tex]V = V_x \hat{i} + V_y\hat{j}[/tex]
[tex]V = (504 + 219 cos 29^0 ) \hat{i} +(219 sin 29^0 )\hat{j}[/tex]
[tex]V = 695.54\hat{i} + 106.17 \hat{j}[/tex]
the magnitude of velocity
[tex]V = \sqrt{695.54^2+106.17^2}[/tex]
V = 703.59 m/s
direction
tan θ = [tex]\dfrac{106.17}{695.54}[/tex]
θ = 8.676°