Question

A parachutist's speed during a free fall reaches

198
feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during
5
seconds of free fall? In your computations, assume that
1
meter is equal to
3.3
feet. Do not round your answers.

Answer 1

"Dimensional analysis" is the primary way to make conversions between any units. Some have trouble because they fail to make it an important point to label units, but labeling units correctly makes tracking and making any conversion very simple...The process and thinking is that you want to cancel out units that you don't need in the solutions...

(198ft/s)(12in/ft)(2.54cm/in)(m/100cm)=60.3504m/s (and that is exact)

d=5s(60.3504m/s)=301.752m

ugh...assume that a meter equals 3.3 feet and do not round your answers???
really? These people are idiots when there is an exact conversion. What is the point of not rounding when you are using a horrible approximation? :D

(198ft/s)(m/3.3ft)=60m/s

d=5s(60m/s)=300m

Answer 2

We have been given the conversion rate as:

1 meter is equal to 3.3 feet.

Given condition is :

A parachutist's speed during a free fall reaches 198 feet per second.

So, the speed in meters per second is =
`(198)/(3.3)` meter per second

= 60 meter per second.

And at this speed, the parachutist will fall
`60* 5=300`

= 300 meters