Arailroad freight yard switch engine on a straight track travels 1000.m to the end of the track ,then back 600. m ,then forward 300.m. a . what is the switch engine's final displacement from its starting position ? b. how far did it travel?

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Carbon 14 is a naturally occurring stable

What are some properties of transverse waves?