A ball is thrown into the air and follows the parabolic path indicated by the dashed line. Use the arrows provided to indicate the approximate directions of the velocity and acceleration of the ball at each of the three locations. (Neglect air resistance.) A basketball player shoots a basketball to the right in a parabolic arc, indicated by a dashed line. The basketball is shown at three positions. The first position is on the upward trajectory. The second position is at the top of the trajectory. The third position is on the downward trajectory. Two bins are at each position. The bin above the trajectory line is the velocity vector bin. The bin below the trajetory line is the acceleration vector bin.

True or false: the revolution of the earth creates day and night as it rotates around the sun

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.

Astone is thrown into a pond. what happens to the amplitude of the resulting waves as they get farther from the point where the stone hit the water? explain.