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A Spring-Loaded Dart Gun Is Used to Shoot a Dart

question 5

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A spring-loaded dart gun is used to shoot a dart straight up into the air,and the dart reaches a maximum height of 24 meters above its point of release.The same dart is shot up a second time from the same gun,but this time the spring is compressed only half as far (compared to the first shot) .How far up does the dart go this time? (Neglect friction and assume the spring is ideal and massless.)


Definitions:

Variance

A statistical measure that represents the degree of spread or dispersion of a set of data values around their mean.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Poisson Distribution

A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming these events happen with a known constant rate and independently of the time since the last event.

Poisson Distribution

A discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming that these events occur with a known constant mean rate and independently of the time since the last event.

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