A football is thrown at an angle of 44◦ above the horizontal. Assume the ball is throw and received at the same height. To throw a 55.7 m pass, what must be the initial speed of the ball? The acceleration due to gravity is 9.8 m/s 2 . Answer in units of m/s.

Respuesta :

Answer:

The initial speed of the ball is 23.3 m/s.

Explanation:

Given that,

Angle = 44°

Range = 55.7 m

We need to calculate the initial speed of the ball

Using formula of range

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

Where. u = initial velocity

r = range

g = acceleration due to gravity

Put the value into the formula

[tex]55.7=\dfrac{u^2\sin2\times44}{9.8}[/tex]

[tex]u^2=\dfrac{55.7\times9.8}{\sin88}[/tex]

[tex]u=\sqrt{\dfrac{55.7\times9.8}{\sin88}}[/tex]

[tex]u=23.3\ m/s[/tex]

Hence, The initial speed of the ball is 23.3 m/s.

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