A bird is initially flying horizontally east at 21.1m/s,?
Update:
but one second later it has changed direction so that it is flying horizontally and 7◦ north of east, at the same speed. What are the magnitude and direction of its acceleration vector during that one second time interval? (Assume its acceleration was roughly constant.)
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If the bird changes direction instantly into a north and an east component that add up to a total speed of 21.1m/s, it will be flying 7 degrees north of east if the components are: 2.3074m/s North and 18.793m/s East. The exact value of the north component is given by atan(x/(21.1-x))=7 degrees.
Its velocity (the hypotenuse) will be 18.934m/s, 7 degrees north of east.
after 1 sec :
Vt = 21.1*sin 7° = 2.571 m/sec
ac = Vt^2/(V*cos 7°) =0.316 m/sec^2