Answer:
14.7 m/s
Step-by-step explanation:
Since the motion of the ball is a uniformly accelerated motion, we can find the initial speed by using the following suvat equation:
where
s is the vertical displacement
u is the initial velocity
t is the time
a is the acceleration
In this problem, we have:
s = 0 (because at the end of the motion, the ball returns to its original position)
u = ?
is the acceleration of gravity (negative because it is downward)
is the total time of flight
Solving for u, we find the initial velocity of the ball:
![0=ut+(1)/(2)at^2\\u=-(1)/(2)at=-(1)/(2)(-9.8)(3)=14.7 m/s](https://img.qammunity.org/2020/formulas/physics/middle-school/5q46w8r24kz8it70cs1x0ntr7zqrqvalnt.png)