Here we have two vectors V and W . The angle between these vectors is A. 7) What
ID: 1391047 • Letter: H
Question
Here we have two vectors V and W. The angle between these vectors is A.
7) What is the component of V parallel to W in terms of A and the magnitudes of V and W?
V
W
V sin(A)
V cos(A)
W sin(A)
W cos(A)
8) What is the component of V perpendicular to W in terms of A and the magnitudes of V and W?
V
W
V sin(A)
V cos(A)
W sin(A)
W cos(A)
Now assume A=(3 m, 4 m) and B=(5 m, -3 m), where the first number is the x-component of the vector, and the second number is the y-component of the vector.
9) What is the magnitude of vector A?
7 m
4 m
(8 m, 1 m)
5 m
(3 m, 4 m)
10) What is A + B?
(8 m, 1 m)
7 m
(3 m, 1 m)
10.83 m
5.83 m
(7 m, 2 m)
Explanation / Answer
1) The slope of the graph in a curve v vs t represents the acceleration. At 2.5 the slope is negative ergo the acceleration is < 0 (option a)
2) In the graph we can see that the car accelerates, then goes at constant speed and the de accelerates always moving forward ergo it's position is > 0 (option 3)
3) False. The acceleration and the velocity are not on the same axis in a graph. In a v vs t graph the acceleration can be calculated looking at the slope of the curve