An unsuspecting bird is coasting along in an easterly direction at 2.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2 . If the wind's acceleration lasts for 3.40 s , find the magnitude ? and direction ?(measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +? direction and that there are 1609 m in 1 mi . r=3.499m ?= 27.71∘   Now, assume the same bird is moving along again at 2.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ?=37.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.300 m/s2 , find the displacement vector ?⃗ and the angle of the displacement ?1 . Enter the components of the vector, ?? and ?? , and the angle. Assume the time interval is still 3.40 s

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section5.1: Vectors
Problem 3PP
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An unsuspecting bird is coasting along in an easterly direction at 2.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2 . If the wind's acceleration lasts for 3.40 s , find the magnitude ? and direction ?(measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +? direction and that there are 1609 m in 1 mi . r=3.499m ?= 27.71∘

 

Now, assume the same bird is moving along again at 2.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ?=37.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.300 m/s2 , find the displacement vector ?⃗ and the angle of the displacement ?1 .

Enter the components of the vector, ?? and ?? , and the angle. Assume the time interval is still 3.40 s .

?⃗=???̂+???̂
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