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Answer:To solve this, we can use one of the kinematic equations of motion. The equation that relates distance, initial velocity, final velocity, and acceleration is:2=2+2Where: is the final velocity (20 cm/s), is the initial velocity (0 cm/s, since the trolley starts from rest), is the acceleration (which we need to find), is the distance traveled (40 cm).Now, substituting the given values into the equation:(20)2 =(0) 2 +2a(40)Let's solve for .Analysis:# Given valuesv = 20 # final velocity in cm/su = 0 # initial velocity in cm/s (starts from rest)s = 40 # distance in cm# Applying the kinematic equation: v^2 = u^2 + 2asa = (v**2 - u**2) / (2 * s)aThe acceleration of the trolley is 5cm/s2.