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The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in the figure below. If the spring is compressed a distance of 0.160 m and the gun fired vertically as shown, the gun can launch a 21.0-g projectile from rest to a maximum height of 26.0 m above the starting point of the projectile.
a)Neglecting all resistive frces, determine the spring constant.
b)Neglecting all resistive forces, find the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in Figure (b).

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