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11A pistol that fires a signal flare gives the flare an initial speed of 190 m/s. If the flare isfired at an angle of 45° above the horizontal on the level salt flats of Utah, how far awaywill it land?(3 Points)Enter your answer

Respuesta :

We will have the following:

We recall that the range of a projectile is given by:

[tex]R=\frac{v_i^2sin(2\theta)}{g}[/tex]

Then, we will have that the range of the flare will be:

[tex]\begin{gathered} R=\frac{(190m/s)sin(2\ast45)}{(9.8m/s)}\Rightarrow R=\frac{180500}{49}m \\ \\ \Rightarrow r\approx3683.67m \end{gathered}[/tex]

So, the flare will land approximately 3 683.67 meters away.

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