Maintaining the same velocity, the time taken by the swimmer to swim the first 50m across the English Channel is 4.3hrs.
This question is incomplete, the complete question is;
If the swimmer could cross the English Channel (32km) maintaining the same velocity as for the first 50 m in the pool, how long would it take?
For the first 50m in the pool, the average velocity was 2.08 m/s
(Actual times are around 15 hours.)
Given the data in the question;
We calculate the time taken by the swimmer for the first [tex]50m[/tex] in the pool.
We know that; Speed is distance travelled by a particle per unit time.
Speed = Distance / Time
Hence, Time = Distance / Speed
[tex]t =\frac{ \delta d }{ \delta v}[/tex]
Here, [tex]\delta d[/tex] is change in distance, [tex]\delta v[/tex] is the average velocity and t is time taken.
Hence,
[tex]t = \frac{d_1 - d_2}{\delta v }[/tex]
We substitute our given values into the equation;
[tex]t = \frac{32000m - 50m}{2.08 m/s}[/tex]
[tex]t = \frac{31950m}{2.08m/s}[/tex]
[tex]t = 15360.5769 s[/tex]
We convert to seconds to hours
[tex]t = \frac{15360.5769}{(60*60)} hrs[/tex]
[tex]t = 4.26 = 4.3 hrs[/tex]
Therefore, maintaining the same velocity, the time taken by the swimmer to swim the first 50m across the English Channel is 4.3hrs.
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