Question

A block attached to the end of a spring moves in simple harmonic motion according to the position function  where the period of the motion is 4.0 s and the amplitude of the motion is 15 cm.

g) Determine the first time at which the position of the block is -1.2 cm. ______ s

h) Determine the first time at which the velocity of the block is -8.5 cm/s. ______ s

i) Determine the first time at which the acceleration of the block is -6.7 cm/s2. ______ s

j) Determine the maximum speed of the block. ______ cm/s

k) Determine the magnitude of the maximum acceleration of the block. ______ cm/s2

l) Suppose that the mass of the block is 1.9 kg. Determine the stiffness constant of the spring. ______ N/m

Answer 1