Answer: 4.08 s
Explanation:
We can solve this problem with the following equation:
[tex]V=V_{o}-gt[/tex]
Where:
[tex]V=5 m/s[/tex] is the final velocity of the ball
[tex]V_{o}=45 m/s[/tex] is the initial velocity of the ball
[tex]g=9.8 m/s^{2}[/tex] is the acceleration due gravity
[tex]t[/tex] is the elapsed time
Isolating [tex]t[/tex]:
[tex]t=-\frav{V-V_{o}}{g}[/tex]
[tex]t=-\frav{5 m/s-45 m/s}{9.8 m/s^{2}}[/tex]
[tex]t=4.08 s[/tex] This is the elapsed time