(14%) Problem 5: Bryan Allen pedaled a human-powered aircraft across the English

Question

(14%) Problem 5: Bryan Allen pedaled a human-powered aircraft across the English Channel from the cliffs of Dover to Cap Gris-Nez on June 12,1979 - 33% Part (a) He flew for 169 min at an average velocity displacement? Give your answer in km. magnitude Grade Summary Deductions Potential 0% 100% sinO cotan atan) acotanO s cosh)tanhO tanO Jt( acos) sinhO Submissions Attempts remaining: 10 (1%per attempt) detailed view cos) sin cotnhO 0 Degrees O Radians 0 Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback - 33% Part (b) Allen encountered a headwind averaging 2.00 m/s almost precisely in the opposite direction of his motion relative to the Earth What was the magnitude of his average velocity relative to the air? Give your answer in m/s 33% Part (c) What was the magnitude of his total displacement relative to the air mass? Give your answer in km

Explanation / Answer

a)

the displacement d = v t

= 3.53 X ( 169 X 60 )

d = 35794.2 m

or

d = 35.7942 km

b )

average velocity relative to the air

V = 3.53 - ( -2 )

V = 5.53 m/sec in south - east direction

c )

same way the displacement of air is

x = v t

x = 5.53 X 169 X 60

x = 56074.2 m

or

x = 56.0742 km

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