(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A delivery truck wants to speed up its deliveries by dropping its packages into moving trucks. A worker is positioned in an overpass directly above a straight, level road to drop the packages into the truck at the correct time. One day, a delivery truck starts from rest and drives along the road with a constant acceleration of 1/2g. A package is released at the correct instant to land in the truck. If the overpass was 30m above the truck and the truck started from a position 100m from the point of impact, how long after the truck started did the employee wait before dropping the package? (Answer is 3.9s)

2. Relevant equations

3. The attempt at a solution

The givens I tried to draw out from this problem were:

Average acceleration = 1/2g = 1/2(9.8m/s^2) = 4.9m/s^2

Displacement of package being dropped to truck = 30m

Initial displacement of truck = 100m

Time = ?

I don't know what equations to use in order to solve this... I'm assuming we're dealing with 2 different things at once... but I just don't know what to do...

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# Uniform acceleration problem

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