A spring with one end attached to a mass and the other to a rigid support is stretched and released.
When the mass is released, it will undergo simple harmonic motion. The force on the block before it is released is F = -kx.
Thus, the acceleration will be a = -kx/m. Magnitude of the acceleration will thus depend on x and will be maximum when x is maximum. Thus, option (a) is correct.
At equilibrium position, x = 0, thus, acceleration will be zero. Thus, option (b) is incorrect. At equilibrium position, all the potential energy will be converted to kinetic energy, thus, the speed will be maximum. Option (c) is correct.
Option (d) is correct because the speed is minimum at maximum compression or maximum elongation of the spring.
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