A toy dart gun has a spring with a spring constant of 315 N/m. An 12 gram dart is loaded in the gun and the spring is compressed a distance of 7.8 cm and then shot into the air. When the dart is 5.8 meters high in the air, what is its speed?

Question

If the maximum height the dart can reach with the spring fully compressed is given by h, what fraction of this height will the dart reach when the spring is compressed by 1/2 of its maximum compression?

Answer 1

1. 6.78 m/s at 5.8 meters high

2. 1/4 Height