Chapter 37, Problem 73E

(a)

To determine

To show: The instantaneous acceleration in frame $S\text{'}$ is $a_x^{\text{'}}=a_x{\left(1-\frac{u^2}{c^2}\right)}^{3/2}{\left(1-\frac{u{v}_x}{c^2}\right)}^{-3}$.

(b)

To determine

To show: The instantaneous acceleration in frame $S$ is $a_x=a_x^{\text{'}}{\left(1-\frac{u^2}{c^2}\right)}^{3/2}{\left(1+\frac{u{v}_x^{\text{'}}}{c^2}\right)}^{-3}$.