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.)
A) 6.0 m
B) 12 m
C) 3.0 m
D) 48 m

Question

Quizplus · Accepted Answer

The distance the dart travels is directly proportional to the square of the spring compression. Halving the compression distance results in a quarter (1/4) of the original height, so 24 meters divided by 4 equals 6 meters.

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