Answer:
39 m/s
Explanation:
Hi!
The equation of motion of the ball is:
[tex]y(t) = y_0 + v_{0y}t-(1/2)(9.8 m/s^2)t^2[/tex]
Where y_0 is the initial horizontal position, which we will take as zero.
v_0y is the initial velocity and t is the time
To find the initial velocity we will set y(7.96s) = 0
[tex]0 = v_{0y} (7.96 s)-(4.9 m/s^2)(7.96 s)^2\\v_{0y} =(4.9 m/s^2) (7.96 s)\\v_{0y}=39.004 m/s[/tex]
