1 Answer

Pattrick King · Answer 1 · 2023-04-03T22:34:05+0000

Hello there! :)

It's a pleasure to be helping you today with your physics question!

Answer:

23.1m/s

Step-by-step 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:

T=(2_(v0~sin 0) )/(g)

where θ = angle of flight

g = acceleration due to gravity

v0 = initial speed

Therefore, substituting the given values into the formula, we have that:

$\boxed{4.2=(2~x~_(v0~sin63) )/(9.8)}$

⇒ 2 ×
_(v0) ×0.8910= 9.8 × 4.2

⇒
$\boxed{{v0}=(9.8~times~4.2)/(2~times~0.8910)}$

$\boxed{{v0} =23.1m/s}$

That is the initial speed of the ball.

I hope this helps you!

Good Luck with your Assignment!