Respuesta :
The time for which the football will stay in the air is equal to 2.75 s.
What are velocity components?
The projectile travels a parabolic path due to the effect of gravity. No horizontal forces act on it so there is no horizontal acceleration.
The velocity of a projectile has a horizontal component and a vertical component.
The vertical component of the velocity is, [tex]\displaystyle V_y = Vsin\theta[/tex]
The horizontal component of the velocity is, [tex]\displaystyle V_x = Vcos\theta[/tex]
Given the angle θ of the football with the X- axis = 30°
The velocity of the football V = 27 m/s
The Y component of the velocity, Vy = 27× sin30°
Vy = 13.5 m/s
The time for which football is in the air,
T = 2Vy/g = 2×13.5/9.8 = 2.75 s
Learn more about the projectile's velocity components, here:
brainly.com/question/14478315
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