Answer
The average speed is 433.6 m/s
Work Step by Step
$v = c~\sqrt{T}$, for some constant $c$
We can write an expression for $v_1$ and $T_1$:
(equation 1): $v_1 = c~\sqrt{T_1}$
We can write an expression for $v_2$ and $T_2$:
(equation 2): $v_2 = c~\sqrt{T_2}$
We can divide equation 2 by equation 1:
$\frac{v_2}{v_1} = \frac{c~\sqrt{T_2}}{c~\sqrt{T_1}}$
$v_2 = \frac{v_1~\sqrt{T_2}}{\sqrt{T_1}}$
$v_2 = \frac{(475~m/s)~\sqrt{250.0~K}}{\sqrt{300.0~K}}$
$v_2 = 433.6~m/s$
The average speed is 433.6 m/s.
