Two airplanes leave an airport at the same time. The velocity of the first airplane is
650 m/h at a heading of 28.7
◦
. The velocity
of the second is 610 m/h at a heading of 90◦
.
How far apart are they after 1.8 h?
Answer in units of m.

Write the equation for momentum, first using symbols for the variables, then using words for the variables.

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.

What property of an object determines its inertia?