The true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
<h3>
Relative velocity of the football</h3>
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 = 41 mph - 11 mph = 30 mph
The direction speed can be determined by sketching a triangle
Direction of the speed, θ = (360 - 339) - (180 - 168)
θ = 21 - 12 = 9⁰
<h3>Resultant speed;</h3>
R² = 41² + 11² - 2(41 x 11 x cos9)
R² = 911.105
R = √911.105
R = 30.185 mph
Thus, the true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
Learn more about relative velocity here: brainly.com/question/17228388
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Answer:
x=20
Step-by-step explanation:
3^x=243^4
3^x=(3^5)^4
3^x =3^20
x=20
Answer:
ok
Step-by-step explanation:
Answer:Irrational
Step-by-step explanation: There is not a number you can square to get 23. The answer would be a repeating number, being irrational.
Answer:
34
Step-by-step explanation:
Given that
2x - 7 = 9 ← solve for x
Add 7 to both sides
2x = 16 ( divide both sides by 2 )
x = 8
Substitute x = 8 into 5x - 6
5x - 6 = (5 × 8) - 6 = 40 - 6 = 34
