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A 0.15 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by

x = (20 cm)cos[(11 rad/s)t + Ï/2 rad]

(a) What is the oscillation frequency? 

(b) What is the maximum speed acquired by the block? 

(c) At what value of x does this occur?

(d) What is the magnitude of the maximum acceleration of the block? 

(e) At what positive value of x does this occur?

(f) What force, applied to the block by the spring, results in the given oscillation?

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