You launch a water balloon from the ground with a speed of 8.3 m/s at an angle of 27°. a. what is the horizontal component of the velocity? (1 point) b. what is the vertical component of the velocity? (1 point) c. how long does it take the water balloon to reach its highest point? (1 point) d. what is the maximum height of the water balloon? (1 point) e. what is the total amount of time that the water balloon is in the air? (1 point) f. how far does the water balloon land from where you launched it? (1 point)

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

Panel bc in fig. p2.76 is semi-circular, with the 3 meter radius and horizontal straight edge through point b. compute (a) the hydrostatic force of the water on the panel, (b) its center of pressure, and (c) the moment of this force about point b. assume atmospheric pressure on the dry side of the panel

Which of the following list the divisions of the geologic time scale in order from longest to shortest