Hello!
The answer is:
[tex]46.19\frac{m}{s}[/tex]
Why?
Since we know the angle and the horizontal component (x-axis component) of the initial velocity, we can calculate the actual velocity (initial velocity) using the following equation:
[tex]Vo_{x}=Vo*Cos\alpha[/tex]
Where:
[tex]Vo_{x}=40\frac{m}{s}\\Vo= Initial velocity\\\alpha = angle= 30 (degrees)[/tex]
So, from the equation we can calculate Vo,
[tex]Vo_{x}=Vo*Cos\alpha\\\\\frac{Vo_{x}}{Cos\alpha}=Vo[/tex]
Then, by substituting we have:
[tex]Vo=\frac{40\frac{m}{s} }{Cos30}=\frac{40\frac{m}{s}}{0.866}=46.19\frac{m}{s}[/tex]
Have a nice day!
