Answer
$b \gt e \gt a = c \gt d$
Work Step by Step
The formula for acceleration is $$a = \frac{v^2}{r}$$
Applying this to each of the particles gives the accelerations for each one.
$$a_a = \frac{v^2}{r}$$
$$a_b = \frac{(2v)^2}{r} = \frac{4v^2}{r}$$
$$a_c = \frac{(-v)^2}{r} = \frac{v^2}{r}$$
$$a_d = \frac{v^2}{2r}$$
$$a_e = \frac{(2v)^2}{2r} = \frac{2v^2}{r}$$
sort these from greatest to smallest.
