$\Lambda$ body covers, with uniform acceleration, in a straight line, distances $a$ and $b$ in successive intervals of time $t_{1}$ and $t_{2}$. What is the acceleration of the body?
Solution
$a-u t_{1} \mid \frac{1}{2} f t_{1}^{2}$, (where $f$ is acceleration) and $a\left|b-u\left(t_{1} \mid t_{2}\right)\right| \frac{1}{2} f\left(t_{1} \mid t_{2}\right)^{2}$
$$
\frac{a+b}{l_{1} \mid t_{2}}-u+\frac{1}{2} f\left(t_{1}+t_{2}\right)
$$
(1)
und $\frac{a}{t_{1}}-u+\frac{1}{2} f_{1}$
Substracting Eq. (2) from Eq. (l),
$$
\begin{aligned}
& \frac{a \backslash b}{l_{1} \mid t_{2}}-\frac{a}{t_{1}}-\frac{1}{2} f t_{2} \Rightarrow \frac{(a+b) t_{1}-a t_{1}-a t_{1}}{\left(t_{1} \mid t_{2}\right) t_{1}}-\frac{1}{2} f t_{2} \\
\therefore & f-\frac{2\left(b t_{1} \quad a t_{2}\right)}{\left(t_{1} \mid t_{2}\right) l_{1} t_{2}}
\end{aligned}
$$
