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A fly flies in two straight lines in the x-y plane. First the fly covers 30 m in

ID: 1659456 • Letter: A

Question

A fly flies in two straight lines in the x-y plane. First the fly covers 30 m in 10 seconds at an angle of 45 degrees. The fly then makes a 90 degree right turn and during the next 10 seconds flies an additional 40m. For the complete flight, what is the magnitude of the fly's displacement vector (i.e. the straight- line distance the fly travels from its starting point)? Draw a diagram, too. Magnitude of displacement of fly's flightm For the complete flight, what is the straight-line average velocity vector of the fly? Average velocity» ( m/s , m/s ) (the v, and v, components)

Explanation / Answer

a)
Displacement = x

x = sqrt(30^2+40^2)
= 50 m

b)

D1 = 30 cos45 i + 30 sin45 j
D2 = 40 cos(315) i + 40 sin(315) j

Dnet = 50i - 7.07j
So,

Vavg = 2.5i m/s, -0.35j m/s

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