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Sagot :
The true speed and direction of the football thrown by the quarterback is 39.139 mph and 7⁰ respectively.
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 = 7⁰
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 7⁰ respectively.
Learn more about relative velocity here:
brainly.com/question/17228388
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