A football is kicked with an initial speed of 10.2 m/s at an angle of 40.00 above the horizontal. It lands on the ground 2.12 s later.

Determine the velocity of the football at the pinnacle of its trajectory.

Respuesta :

Answer:

7.66m/s

Explanation:

Horizontal component of initial speed is

[tex]U_x = Ucos40^0[/tex]

= 10.2 × 0.7660

= 7.66 m/s

horizontal component of the final speed at pinnacle of its trajectory is

[tex]V_x = U_x[/tex]

= 7.66 m/s

the vertical component of the speed at pinnacle of its trajectory is

[tex]V_y = 0[/tex]

the speed of the ball at pinnacle of the trajectory

[tex]V = \sqrt{V_x^2 + V_y^2}[/tex]

= [tex]\sqrt{7.66^2 + 0^2}[/tex]

= 7.66m/s