The place kicker on a football team kicks a ball from ground level with an initial speed of 5.80 m/s at an angle of 17.0° above the horizontal. How long is the ball in the air before it lands on the ground again

Respuesta :

Answer:

0.34 s

Explanation:

Given that,

Initial speed of a ball, u = 5.8 m/s

It is kicked at an angle of 17.0° above the horizontal.

The vertical component of velocity will be,

[tex]u_y=u\sin\theta\\\\=5.8\times \sin 17\\\\=1.69\ m/s[/tex]

Let it takes t time in the air before it lands on the ground again. It can calculated as :

[tex]t=\dfrac{2u_y}{g}\\\\t=\dfrac{2\times 1.69}{9.8}\\\\t=0.34\ s[/tex]

So, it will take 0.34 seconds.

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