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A parachutist's rate during a free fall reaches 198 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist

fall during 2 seconds free fall? Do not round your answers,

A parachutist's rate during a free fall reaches 198 kilometers per hour. What is this-example-1
User Ali Zeynalov
by
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1 Answer

18 votes
18 votes

Step 1: Compute the rate in meters per seconds


\begin{gathered} 1\operatorname{km}\text{ }=1000m \\ 1h=60*60s \end{gathered}

Therefore,


\begin{gathered} 198\operatorname{km}\text{ / h }=\frac{198\operatorname{km}}{1h} \\ \text{Thus,} \\ 198\operatorname{km}\text{ / h }=(198*1000m)/(60*60s) \\ 198\operatorname{km}\text{ / h }=(198*10m)/(6*6s) \\ 198\operatorname{km}\text{ / h }=(33*10m)/(1*6s) \end{gathered}

Hence,


198\operatorname{km}\text{ / h }=(11*10m)/(1*2s)=55m\text{ /s}

Therefore, the rate in meters per seconds is 55 m/s

Step 2: Compute the number of metes the parachutist will fall in 2s at this rate (55m/s)

At the rate of 55m/s, the distance the parachutist falls in 2s is given by


55*2=110m

Hence, the number of meters is 110m

User Bohrend
by
3.0k points
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