A small object begins a free-fall from a height of 22.0 m. After 1.30 s, a second small object is launched vertically upward from the ground with an initial velocity of 35.0 m/s.
At what height h above the ground will the two objects first
meet?

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.

Which of the following is an example of motion in two dimensions?

Matter is needed to transfer thermal energy bya. conductionb. convectionc. radiation d. both a & b.