Answer
$7.4\space m/s$
Work Step by Step
Please see the attache dimage first
Let's apply the equation $F=ma$ to the bicycle when it has the maximum constant speed.
$\angle 4.4^{\circ} \nearrow F=ma$ ; Let's plug known values into this equation.
$F-14.5N-152gsin\theta\space N=0$
$F=(14.5+152\times9.8\times sin4.4^{\circ})\space N$
$F=128.8\space N$
Let's apply the equation $P=FV$ to the bicycle when it has the maximum constant speed.
$P=FV$ ; Now plug known values into this equation
$955\space kgm^{2}/s^{3}=128.8\space kgm/s^{2}\times V$
$7.4\space m/s=V$
Fastest speed of the bicycle = 7.4 m/s
