A 0.50kg block attached to a spring performs simple harmonic motion with angular frequency 4.0rads−1. Its speed is 0.30ms−1 when the block is 0.06m away from the equilibrium position and is moving towards the mean position.
a. (i) Calculate the magnitude of the speed of the block when it is 0.08m away from the equilibrium position.
b. (ii) State whether the block is moving towards or away from the mean position at this instant.