A stone is projected at a cliff of height h with an initial speed of 30.0 m/s directed at angle 60.0 degrees above the horizontal. The stone strikes at point A, 4.0 s after launching. a. Find the horizontal component of the stone’s initial velocity in m/s.
b. Find the vertical component of the stone’s initial velocity in m/s.
c. Find the height H in meters.
d. Find the height h of the cliff.
e. Find the speed of the stone (in m/s) just before impact at point A.

The optimistic view of human nature held by supporters of the humanistic perspective led to more positive views of human nature throughout the field of psychology. t or f?

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 elements is in the same period as phosphorus? a. carbon c. nitrogen b. magnesium d. oxygen select the best answer from the choices provided a b c d