An object falls under the influence of gravity and a drag force F_d = -bv. 

(a) By applying Newton’s second law, show that the acceleration of the object can be written a = dv/dt = g - (b/m)v. 

(b) Rearrange this equation to obtain dv/(v - v_t) = -(g/v_t)dt, where v_t = mg/b. 

(c) Integrate this equation to obtain the exact solution

(d) Plot v versus t for v_t = 60 m/s.

Transcribed Image Text:

(1-e) = v,(1-e*) mg