Air Resistance If we assume that air resistance is proportional to the square of the velocity, then the time t in seconds required for an object to reach a velocity v in feet per second is given by: Determine the velocity, to the nearest hundredth foot per second of the object after 1.3 seconds. t=1.3 24 24+V tln ( 9 24V e 24 t 24+ v = 9 24v 24 e 24 t 24 t ve =24 +v 9 9 24 e 24 t 24 t 24=v + ve 9 9 v ( 1+e 9 )=24 ( 24 t 1) 9 24 t 1) 9 24 t 1+e 9 24 (e v= 24 ( 1.3 ) 1) 9 24 ( 1.3 ) 1+e 9 24 (e v ( 1.3 )= =