An object experiences two velocity vectors in its environment.
1 answer:
Answer:
(a) 53.451∠163°
Step-by-step explanation:
The sum of the vectors is the sum of their components:
v1 +v2 = (-55i +3j) +(4i +13j) = (-55 +4)i +(3 +13)j = -51i +16j
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<h3>conversion to polar form</h3>This is converted to magnitude and direction by ...
|ai +bj| = √(a² +b²)
|-51i +16j| = √((-51)² +16²) = √(2601 +256) = √2857 ≈ 53.451
and
∠(ai +bj) = arctan(b/a) = arctan(16/-51) ≈ -17° +180° = 163°
note that 180° is added because the components indicate the angle is in the 2nd quadrant.
The object's speed and direction are ...
53.451 ∠163°
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<em>Additional comment</em>
If you're doing a lot of vector calculations, the process is simplified immensely by a suitable calculator. (See attached.) 2-dimensional vectors are handled nicely using the complex number functions of the calculator.
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Answer:
The given table is
Quantity(x) Price(y)
1 2.00
2 3.50
3 5.00
4 6.50
5 8.00
6 9.00
It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).
The graph 1 represents all the above mentioned point, therefore option 1 is correct.
According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.
The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.
Therefore the option 3 and 4 are incorrect.
Step-by-step explanation:
