An ideal gas at absolute temperature t is in a uniform gravitational field with acceleration due to gravity g in the negative z-direction. (a) by considering the gravitational potential energy of a molecule, derive an expression for the density of molecules n(z) as a function of height z. (b) how does your expression for n(z) compare with that obtained by writing the condition of hydrostatic equilibrium for a slice of the gas located between heights z and z + dz?

The x-coordinate of a particle in curvilinear motion is given by x = 3.1t3 - 4.9t where x is in feet and t is in seconds. the y-component of acceleration in feet per second squared is given by ay = 2.3t. if the particle has y-components y = 0 and vy = 5.0 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 1.8 sec. sketch the path for the first 1.8 seconds of motion, and show the velocity and acceleration vectors for t = 1.8 sec. answers: v = ft/sec a = ft/sec2

Aria drove to the store, did some shopping, and then came home. during maria's trip, when was her displacement equal to zero?

Both independent and dependent clauses