Answer:
t = 8.24 [min]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 25 [km/h]
Vo = initial velocity = 2 [m/s]
a = acceleration = 0.01 [m/s²]
t = time [s]
Now we must convert the speed from kilometers per hour to meters per second.
[tex]25[\frac{km}{h} ]*[\frac{1h}{3600s}]*[\frac{1000m}{1km} ]=6.94[m/s][/tex]
Now replacing:
[tex]6.94=2+0.01*t\\t=494 [s]\\or\\t=8.24[min][/tex]
