Respuesta :

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