2.2.3 Resolving Vectors

Question 1

What is important to assume when looking at diagrams?

Answer 1

That they are NOT TO SCALE.

Question 2

What is F(small)x or R(small)x? How do you find the value of it?

Answer 2

F(small)x is the horizontal part of a vector, it is found using F(small)x=Fcos(theta). Here, F is typically the HYPOTENUSE of a vector triangle.

Question 3

What is F(small)x, or R(small)x? How do you find the value of it?

Answer 3

F(small)y is the vertical part of a vector, it is found using F(small)y=Fsin(theta). Here, F is typically the HYPOTENUSE of a vector triangle.

Question 4

Why are the vertical and horizontal components of an object’s motion independent?

Answer 4

Because the angle between them is 90 degrees and cos(90)=0, so the value of thr horizontal component is zero when we consider the vertical component and visa versa.

Question 5

If the question shows a curve, how can you use trigonometry?

Answer 5

Make a triangle at a certain point and use R(small)y or y = Fcos/sin (theta).

Question 6

How could I use the speed= distance/ time on a vector triangle?

Answer 6

Split up the vector into its horizontal components and work on the x and y separately, which would give:
Horizontal distance = horizontal velocity x time, and visa versa.