You'll never get the correct answer without the correct conversion factor. Note carefully that you have no decimal. It should be
<span>1 km = 0.6214 miles </span>
<span>1000 m = 1 km </span>
<span>60 seconds = 1 minute </span>
<span>60 minutes = 1 hour. </span>
<span>2.998E8 m/s x (1 km/1000m) x (0.6214 miles/km) x (60 sec/min) x (60 min/hr) = ?</span>
Answer:


Explanation:
the maximum speed is reached when the drag force and the weight are at equilibrium, therefore:




To calculate the velocity after 100 meters, we can no longer assume equilibrium, therefore:



(1)
consider the next equation of motion:

If assuming initial velocity=0:
(2)
joining (1) and (2):




(3)





To plot velocity as a function of distance, just plot equation (3).
To plot velocity as a function of time, you have to consider the next equation of motion:

as stated before, the initial velocity is 0:
(4)
joining (1) and (4) and reducing you will get:

solving for v:

Plots: