A particle moves along the z axis. It is acted upon by a constant gravitational force equal to ˆ’kmg, where k is the unit vector in the z direction. It is also acted on by a frictional force given by

where ζ is a constant called a €œfriction constant.€ Find the equation of motion and obtain a general solution. Find z as a function of time if z(0) = 0 and v_x (0) = 0. Draw a graph of z as a function of time.

Transcribed Image Text:

( ) dz Ff = -kč dt