Imagine a car traveling in a straight line with the cruise control engaged. this means that the vehicle is moving with a constant speed, more specifically, constant velocity (speed and direction). this situation can be equated to a falling object at terminal velocity, where the falling speed reaches its maximum point, cannot increase. considering the car traveling at cruise control described above, the forces are balanced and therefore the net force is zero.

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.

Sort the images based on whether there's a force of attraction or repulsion between the magnets shown. attraction repulsion

This is the number of complete movements of a wave per second.