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Sagot :
The true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7Ⱐrespectively.
How to find the Relative velocity of the football?
The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
Vr/w is the velocity of the football with respect to the wind
Vb is the velocity of the football
Vw is the velocity of the wind
Vr/w = 42 mph - 13 mph = 29 mph
The direction speed can be determined by a triangle
Direction of the speed, θ = (360 - 345) - (180 - 172)
                   θ = 15 - 8 = 7â°
Resultant speed;
[tex]R^2 = 42^2 + 13^2 - 2(42 \times 13 \times cos7)\\\\R^2 =849.139\\R = \sqrt{849.139}\\R = 29.139 mph[/tex]
Thus, the true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7Ⱐrespectively.
Learn more about relative velocity here:
brainly.com/question/17228388
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