The equation y(x, t)=acos2πf(xv−t) may be written as y(x, t)=acos[2πλ(x−vt)].

use the last expression for y(x, t) to find an expression for the transverse velocity vy of a particle in the string on which the wave travels. express your answer in terms of the variables a, v, λ, x, t, and appropriate constants.

find the maximum speed of a particle of the string. express your answer in terms of the variables a, v, λ, x, t, and appropriate constants.

9. an object is moved from the outdoors, which is at a temperature of 100 ºf, to a room at a temperature of 70 º f. what happens to the object when it’s placed in the room with a lower temperature? the object gives off more energy than it absorbs until it reaches a new lower thermal equilibrium where the amount of energy absorbed and given off is the same. the object gives off the same amount of energy as it absorbs until it reaches a new lower thermal equilibrium where the amount of energy given off is greater than the amount of energy it absorbs. the object gives off more energy than it absorbs until it reaches a new higher thermal equilibrium where the amount of energy absorbed and given off is the same. the object absorbs more energy than it gives off until it reaches a new lower thermal equilibrium where the amount of energy absorbed and given off is the same.