5 points A ball is thrown upward from y=0, with an initial velocity vo and then slows down with constant acceleration due to
the Earth's gravity. The ball comes to rest at a height h. Which one of the following formulas correctly states the
distance, h, to the top of the trajectory in terms of the initial velocity?

Which is not a source of noise pollution? a)airplanes b)acid rain c)machines d)cars

The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58.what is the larger number?

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.