5) A 750 gr block is fastened to a spring with a spring constant of 145 N/m and then pulled 25 cm and released on a horizontal frictionless surface. a) What is the frequency of the motion? b) What is the Period of the motion? c) What is the angular frequency? d) What is the Amplitude? e) Write an equation of the Position as a function of time. f) Write an equation of the Velocity as a function of time. g) Write an equation of the Acceleration as a function of time. h) What is the maximum velocity? i) What is the maximum acceleration?

5) The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness, with a spring constant k, and is suspended off of the ground. a) If the spring stretches x1 = 0.265 m from equilibrium while supporting an 8.05-kg child, what is its spring constant, in newtons per meter?  b) What is the time, in seconds, for one complete bounce of this child about the point x1?  c) What is the child’s maximum velocity, in meters per second, if the amplitude of her bounce, relative to x1, is 0.185 m?

A 75 kg mass is attached to an ideal massless spring with a spring constant of 15 N/m oscillates on a horizontal, frictionless track. A time t=0.00 s, the mass is released from rest at x=10 cm.  a- Find the frequency of the oscillations. b-determin the maximum speed of the mass. At what point in the motion does the maximum speed occur? c-What is the maximum acceleration of the mass? At what point does the maximum acceleration occur? d-Determin the total energy of the oscillating system. e-Express the displacement x as a function of time

A yo-yo oscillates up and down like a sine function y(t)=sin(t). a) What is the displacement over the time interval [0,6π]?   b) What is the total distance traveled by the yo-yo over the same time interval?   c) What is the minimum velocity of the yo-yo? Minimum speed?   d) At what part of the cycle is the yo-yo increasing in speed but decreasing in velocity?