Respuesta :

Answer:

The initial speed of the ball is 30 m/s.

Explanation:

It can be assumed that the ball is thrown at an angle of 45 degrees to the ground. The ball lands 90 m away. We need to find the initial speed of the ball. We know that the horizontal distance covered by the projectile is called its range. It is given by :

[tex]R=\dfrac{u^2\ sin2\theta}{g}[/tex]

u is the initial speed of the ball.

[tex]v=\sqrt{\dfrac{Rg}{sin2\theta}}[/tex]

[tex]v=\sqrt{\dfrac{90\times 9.8}{sin2(45)}}[/tex]

v = 29.69 m/s

or

v = 30 m/s

So, the initial speed of the ball is 30 m/s. Hence, this is the required solution.                                      

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