A simple harmonic oscillator's velocity is given by vy(t) = (0.950 m/s)sin(10.6t 6.15). Find the oscillator's position, velocity, and acceleration at each of the following times. (Include the sign of the value in your answer.) (a) t= 0 position velocity acceleration (b) t = 0.500 s position velocity acceleration (c) t = 2.00 s position velocity acceleration m m/s m/s2 m m/s m/s2 m m/s m/s²

Please help solve for vmax.

A simple harmonic motion is give by y = 12m * cos(8t) . What is the maximum acceleration in m/s^2?

A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.40 cm, and the frequency is 2.10 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) X = (b) Determine the maximum speed of the particle. cm/s (c) Determine the earliest time (t > 0) at which the particle has this speed S (d) Find the maximum positive acceleration of the particle. cm/s² (e) Find the earliest time (t > 0) at which the particle has this acceleration. (f) Determine the total distance traveled between t = 0 and t = 0.71 s. cm

A mass m on a spring with spring constant k oscillates with Simple Harmonic Motion. Assume m and k are both known in base SI units. The exact position of the harmonic oscillator is described by this function. All quantities are expressed in base Sl units: x(t) = cos(3rt + T/4) This is a multi-select question, you must select 2 correct answers to receive full credit. Question #1: VWhat is the period of the oscillation? Question #2: What is the total distance traveled by the oscillator during one full period? (Hint: this is not asking for the displacement) The period of the oscillation is 3n [s] | The period of the oscillation is 3 [s] | The period of the oscillation is 4 T [s] The period of the oscillation is 2/3 [s] The period of the oscillation is 3/4 T² [s] The total distance traveled during one full period is 0 [m] The total distance traveled during one full period is 1 [m] | The total distance traveled during one full period is 2 [m] The total distance traveled during one full…

An object executes simple harmonic motion with an amplitude A. (Use any variable or symbol stated above as necessary.) (a) At what values of its position does its speed equal half its maximum speed? x = ±        (b) At what values of its position does its potential energy equal half the total energy? x = ±

For a simple harmonic oscillator with x=Asinωtx=Asin⁡ωt write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as ωω, use omega.