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0 1. A cart of mass 2 kg on a frictionless track is attached to a spring with spring constant 0.5 N/m and undergoes simple harmonic motion. The cart initially starts from rest a distance of +2 meters from its equilibrium position. Answer the following questions about its motion, assuming solutions of the general form k x= A cos(ot+ +0) where a = m
c) Write the position, velocity, and acceleration equations for the cart. d) Are your results consistent with Newton's Second Law? Explain. - e) Calculate the time it takes for the cart to move from a position of x = +1 meter to a position of x = +2 meters. (Note: you may have more than one answer to this problem.) =