An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from the south imparts a constant acceleration of 0.200 m/s2 . If the wind's acceleration lasts for 3.10 s , find the magnitude ?r and direction ?θ (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +?+x direction and that there are 1609 m in 1 mi . ?= ? ?= ? Now, assume the same bird is moving along again at 4.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ϕ=39.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.500 m/s2 , find the displacement vector ?⃗ r→ and the angle of the displacement ?1θ1 . Enter the components of the vector, ??rx and ??ry , and the angle. Assume the time interval is still 3.10 s .

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