Solving the Displacement of Particle on a Stretchy Spring

[vortec135]

Homework Statement

A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is pulled horizontally so that it stretches the spring 5.00 cm and is then released from rest at t=0. Determine the displacement x of the particle from the equilibrium position at t=0.500s.

Homework Equations

Not sure

The Attempt at a Solution

I've calculated the spring constant, the average acceleration from the stretched position to the equilibrium solution but I can't do anything to solve for time..


Can anyone tell me how to solve this question?

 

[Dr.D]

Sounds like what you need to do is to write the equation of motion (a differential equation), solve the differential equation, and then evaluate x(t=0.5) after you have found x(t) as the solution of the differential equation.

There is no solving for the time involved in this problem.