Hello there! :)
It's a pleasure to be helping you today with your physics question!
Answer:
[tex]23.1m/s[/tex]
Explanation:
We want to find the initial speed of the ball.
To do this, we have to apply the formula for the time of flight of a projectile:
[tex]T=\frac{2_{v0~sin 0} }{g}[/tex]
where θ = angle of flight
g = acceleration due to gravity
v0 = initial speed
Therefore, substituting the given values into the formula, we have that:
[tex]\boxed{4.2=\frac{2~x~_{v0~sin63} }{9.8}}[/tex]
⇒ 2 ×[tex]_{v0}[/tex] ×0.8910= 9.8 × 4.2
⇒[tex]\boxed{{v0}=\frac{9.8~times~4.2}{2~times~0.8910}}[/tex]
[tex]\boxed{{v0} =23.1m/s}[/tex]
That is the initial speed of the ball.
I hope this helps you!
Good Luck with your Assignment!
