I have the question "A train accelerates from rest to a speed of 155kmh^-1 in a time of 3 minutes 45 seconds. Calculate it's average acceleration over this time in units of ms^-2"
I know the velocity is 155 kmh^-1 and time is 225 seconds when changed from minutes to seconds and that the subject of the equation has to be A (acceleration) but I am unsure which equation to use to solve this.
$\gamma=\frac{v_1-v_0}{t_1-t_0}$
with $t_1-t_0=3\times 60 +45$ s.
which gives
$\frac{ \frac{ 155000}{3600} }{ 225 }$ in $ms^{-2}$
$=\frac{1550}{36\times225}$
$=\frac{310}{36\times45}$
$=\frac{31}{18\times9}$
$=\frac{31}{162}=0.191 ms^{-2}$.