Answer:
[tex]v = 31.6m/s[/tex]
Explanation:
Given
[tex]Initial\ Velocity, u = 12m/s[/tex]
[tex]Time, t = 2.0s[/tex]
Required
Determine the final velocity, v
Using the first equation of motion
[tex]v = u + at[/tex]
But in this case;
a = g = acceleration of gravity
So:
[tex]v = u + gt[/tex]
Substitute values for u and t
[tex]v = 12 + g * 2[/tex]
[tex]v = 12 + 2g[/tex]
Take g as 9.8m/s²
[tex]v = 12 + 2 * 9.8[/tex]
[tex]v = 12 + 19.6[/tex]
[tex]v = 31.6m/s[/tex]
Hence, the velocity is 31.6m/s