Respuesta :

BisratHailu
Your initial velocity is 2 m/s. lets call that 'U' and your final velocity is 8 m/s. Lets call that 'V'.
a = (V-U)/t
but we are asked 't' not 'a' so the formula changes to...
t = (V-U)/a
t = (8-2)/2
t = 3 sec

Answer : The time taken will be 3 seconds.

Explanation :

By the 1st equation of motion,

[tex]v=u+at[/tex] ...........(1)

where,

v = final velocity = 8 m/s

u = initial velocity  = 2 m/s

t = time = ?

a = acceleration = [tex]2m/s^2[/tex]

Now put all the given values in the above equation 1, we get:

[tex]8m/s=2m/s+(2m/s^2)\times t[/tex]

[tex]t=3s[/tex]

Hence, the time taken will be 3 seconds.