have work this step by step no idea how to even start Air Re

have work this step by step no idea how to even start

Air Resistance If we assume that air resistance is proportional to the square of the velocity, then the time tin seconds required for an object to reach a velocity v in feet per second is given by: 9 24 +v 24 24 -v Determine the velocity, to the nearest hundredth foot per second of the object after 1.[d] seconds. Note: if [d]-5, then 1.[d]-1.5 seconds

Solution

t= (9/24)ln(24+v/24-v)

t=1.5 secs

1.5=(9/24)ln(24+v/24-v)

1.5*24/9= ln(24+v/24-v)

4= ln (24+v/24-v)

writing it in exponential form

e^4= (24+v/24-v)

54.598(24-v)=24+v

1310.35- 54.598v= 24+v

1286.35= 55.598v

v=23.14 feet per sec