A rock is thrown horizontally off a cliff with initial speed of 17.3 m/s. The rock strikes the ground at an angle of 53 degrees. How tall is the cliff in meters? Assume that the air resistance is negligible.

A horizontal mass-spring system is in simple harmonic motion, and the position of the mass can be modeled as x(t) =[0.25m] sin([3s-1]t+π/3), where x is in meters and t is in seconds. At t= 4 s, what is the ratio of the potential energy of the mass to its kinetic energy, U/K?

A transverse wave has the displacement y(x, t) = (2.1 mm) sin[(3.0 m−1)x−wt] . If its period is 0.34s, what is the velocity of the wave (in m/s)?

A rock is thrown horizontally off a cliff that is H= 23 m high. The rock strikes the ground at an angle of 46 degrees. With what initial speed (in m/s) was the rock thrown? Assume that the air resistance is negligible.

A transverse wave has the displacement y(x, t) = (3.5 mm) sin[(2.0 m−1)x−wt] . If its speed is 15 m/s, what is the period of the wave (in seconds)?

The specific structure that is GREEN and marked with arrows is:  

You are playing a musical instrument with two strings. String A is 50 cm long and string B is 70 cm long. Both strings are under the same amount of tension. You find that the frequency of the third harmonic on string A is the same as the frequency of the second harmonic on string B. What is the ratio of the linear mass density of string A, to that of string B (i.e., what is μA/μB)?

You are playing a musical instrument with two strings. The linear mass density of string A is 2.1 g/cm and that of string B is 3.4 g/cm. Both strings are under the same amount of tension. You find that the frequency of the second harmonic on string A is the same as the frequency of the third harmonic on string B. What is the ratio of the length of string B, to that of string A (i.e., what is LB/LA)?

Consider the resonant oscillation shown in the image below, where a string of length 0.8 m and mass of 4.5 gr, has been stretched with an unknown tension. If the frequency of the transverse waves in the string is 440 Hz, what is the tension of the string in N?

A horizontal mass-spring system is in simple harmonic motion, and the position of the mass can be modeled as x(t) =[0.3m] sin([2s-1]t+π/4), where x is in meters and t is in seconds. At t= 4 s, what is the ratio of the kinetic energy of the mass to its potential energy, K/U?