Answer:
The answer to your question is vo = 19.62 m/s
Step-by-step explanation:
Data
angle = α = 30°
time = t = 2 s
vo = ?
g = 9.81 m/s²
Formula
[tex]t = \frac{2vosin\alpha}{g}[/tex]
Solve for vo
[tex]vo = \frac{tg}{2sin\alpha}[/tex]
Substitution
[tex]vo = \frac{(2)((9.81)}{2sin 30}[/tex]
Simplification
[tex]vo = \frac{19.62}{2(0.5)}[/tex]
[tex]vo = \frac{19.62}{1}[/tex]
Result
vo = 19.62 m/s