How Does Throwing a Parcel Affect the Speed of a Trolley?

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The discussion centers on a physics problem involving a man on a trolley who throws a parcel, affecting their speed. It is confirmed that the initial velocity of both the man and the trolley is assumed to be zero for the calculations to work. The equation used to solve for the final speed of the trolley and man after the parcel is thrown is based on the conservation of momentum. The resulting speed calculated is 0.2 m/s. The assumption of zero initial velocity is crucial for arriving at this solution.
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A man of mass 80kg (m1) stands on a trolley of mass 120kg (m2) and throws a parcel of mass 10kg (m3) with a velocity of 4.0ms-2 (u2) horizontally away from the rear of the trolley. What is the speed with which the trolley and the man commence to move?

I am just wondering whether the initial velocity of the man and the trolley is zero? I can only seem to work out the correct answer if it is zero because I can't solve for two variables.

(m1+m2)u + m3u2 = (m1+m2)v

200 x 0 + 40 = 200v
40 = 200v
0.2ms-1 = v
 
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The initial velocity is assumed to be 0, yes.
 

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