Question

Bryan Allen pedaled a human-powered aircraft across the English channel from the cliffs of Dover to Cap Gris-Nez on June 12, 1979. He flew for 169 minutes at an average velocity of 3.53 m/s in a direction 45.0∘ degrees south of east. Allen encountered a headwind averaging 2.00 m/s almost precisely in the opposite direction of his motion relative to the earth. What was his average velocity relative to the air?

Answer 1

The answer is "
`5.53 \ (m)/(s)`"

Step-by-step explanation:

apply the formula for calculating the average velocity to the relative air

`V_(PG) =V_(PA)+V_(AG)`

`\Rightarrow V_(PA) = V_(PG) -V_(AG)`

Given value:

`V_(AG) = -2 \ (m)/(s)`

`V_(PG) =3.53`

`\Rightarrow V_(PA) = 3.53 - (-2) \\\\\Rightarrow V_(PA) = 3.53 +2 \\\\\Rightarrow V_(PA) = 5.53 \\\\`

The final answer is "
`5.53 \ (m)/(s)`" in the south-east direction.