Using the equation of motion:

v^2 = u^2 + 2as

where,

v = final velocity (0 m/s)

u = initial velocity (3 m/s)

a = acceleration due to gravity (-9.8 m/s2)

s = displacement (maximum height)

Substituting values:

(0 m/s)^2 = (3 m/s)^2 + 2(-9.8 m/s2)(s)

0 = 9 m2/s2 - 19.6 m/s2 * s

19.6 m/s2 * s = 9 m2/s2

s = (9 m2/s2)/(19.6 m/s2)

s = 0.46m (approximately)

Therefore, the maximum height reached by the lollipops is approximately 0.46 meters.