At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and its speed is being increased at a rate of 6. Airplane B is flying at the same altitude as airplane A and, as it rounds a pylon, is following a circular path of 200-m radius. Knowing that at a given instant the speed of B is being decreased at a rate of 2, determine, for the positions shown, (a) the velocity of B relative to A, (b) the acceleration of B relative to A.

You are learning to play the violin. One end of the string is vibrating from the bow running along one end. The other end is tied down. The length of the string we will be looking at is 30 cm and the total mass of the string is 0,32 g. We will be modeling this as a standing wave on a string. You being to play the violin and play a note which has a frequency of 440 Hz. You (having incredible eyesight) see that there are 3 anti-nodes on the string forming a perfect sinusoidal wave (shown in diagram). L i) What is the wavelength of this standing wave? ii) What is the speed of the traveling waves that make up this standing wave? iii) What is the tension of the string? iv) Suppose you increase the tension of the string until you get a new standing wave. Will this standing wave have two antinodes or four antinodes? Explain. (You are still at a frequency of 440 Hz)

Need only handwritten solution

Hang a mass from a spring. We are interested in the moment where you pull the mass down (before you release it) to the highest point that the mass moves to. We also care about when the mass is moving its fastest. In this case, the best place to put the zero reference is where the mass is hanging before you pull on it. 1)Draw an LOL Diagram 2)What is the energy model equation? 3)Will energy be conserved? (i.e., does ΔEsys =0?)