A woman is standing in the ocean, and she notices that after a wave crest passes, 2 more crests pass in a time of 91 s. The distance between two successive crests is 19 m. Determine the wave's period. No need to include the unit. Write your answer in whole numbers.

10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below its equilibrium position. After release, the block makes one complete up-and-down cycle in 2 seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? С. d. Write a function to model the displacement d (in inches) as a function of the time t (in seconds) after release. Assume that a displacement above the equilibrium point is positive. е. Find the displacement of the block and direction of movement at t = 1 sec.

A 7.2 kg-block attached to a 32 N/m-spring constant spring moves on a frictionless horizontal surface, back and forth between -3.0 m and +3.0 m. What is the period of this motion, in seconds? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

1. An object suspended from a spring is oscillating up and down. It started this periodic motion when it was pulled down by 16cm from its rest position of 80cm above the floor and released. It returned to its rest position after 0.5 seconds and then continued upwards reaching its maximum height. a) Model this motion with a graph. b) Model its motion with the equation.

A mass of 1.64 Kg is connected to a spring of spring constant 9.02 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.779 m before release and the oscillator moves in air. The oscillation decays to 16.7% of the original amplitude in 63.5 seconds.   a.  What would the position of the oscillation be 29.63 seconds after release?

A mass of 0.407 kilograms is oscillating horizontally on a spring. Its position is given by the equation x = [0.108 sin (9.24t + 0.82) + 0.683] m. a. What is the spring constant of the spring? Include units in your answer. b. The velocity of the mass is another sinusoid, which also can be modeled using the equation v = [A sin (Bt + C) + D] m/s. What are those values? Do not bother with units.A:  B:  C:   (between 0 and 2?)D:  c. The acceleration of the mass is yet another sinusoid, which again can be modeled using the equation a = [A sin (Bt + C) + D] m/s/s. What are those values of A and C? Do not bother with units. Hint: For A, consider Newton's second law of motion. A:  C:   (between 0 and 2?)Note that the values of B and D for the acceleration equation are the same as the values of B and D for the velocity equation.   PLEASE ANSWER IN HANDWRITING   THANKS!!!!

Write a CER to report the relationship between the spring constant and the mass of a oscillation based on a graph.

A pendulum swings back and forth from a string. When it is lying motionless it is y=6 ft from a nearby wall. When the pendulum is furthest from the wall, it is 9 ft. It takes 20 seconds to complete one cycle. Suppose you start timing the pendulum when it is furthest from the wall.a) Sketch a graph of this situation. b) Write an equation of this sinusoidal.

8. A string on a bass is plucked and oscillates up and down 60 times per second. The amplitude starts out at 0.4cm and decreases by 10% per second. Write an equation for the position, P, of the string as a function of time, t. Assume the string starts at its lowest position.

An object moves in simple harmonic motion described by d = 4 sin 5t, where t is measured in seconds and d in meters. Find a. the maximum displacement; b. the frequency; and c. the time required for one cycle.