A 9.50 kg rocket produces a thrust of 365 N. The rocket is pointed upward and the bottom of the rocket is attached to, and is resting on, a spring with a spring constant of 320 N/m. If the spring compressed 0.291 m prior to launch, what is the rocket's speed when the rocket is launched and the spring has stretched 0.378 m?

1 answer

Assuming the rocket mass has not changed.....???
spring: stored energy released: k(.291^2)-k(.378^2)
energy from engine: 365*(.291+.378) (force*distance)
add those energies, then set equal to 1/2 mv^2, solve for v