Question

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

Answer 1

We will have the following:

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

`R=(v_i^2sin(2\theta))/(g)`

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

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

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