We can see that you posted your question twice, and left out different parts each time.
Fortunately, our crack WA cryptographic team was able to piece them together, and
we now believe that we know what you're trying to ask.
If we're correct, you have a vector of 100 units, pointing at an angle of 45 degrees ...
up and to the right, exactly between the positive 'x' and 'y' axes.
-- The horizontal component is 100 cos(45) = 100 x 1/2 sqrt(2) = 50 sqrt(2) = 70.711 (rounded)
-- The vertical component is 100 sin(45) = 100 x 1/2 sqrt(2) = 50 sqrt(2) = 70.711 (rounded)
Ask Sir JB.
vectors
The answer below assumes you are required to find the components of the vector. A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components. Both of these values equal to 1/sqrt(2) {one over square-root two}
If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).
Vertical is up and horizontal is across
Ask Sir JB.
To take the magnitude of the velocity you will need to square both the horizontal and vertical components and then take the square root of their sum. So: V=(Vx2+Vy2)1/2
vectors
The horizontal and vertical parts of a vector are called components
Force can be resolved into horizontal and vertical components using vector analysis. However stress cannot be resolved into horizontal and vertical components using vector analysis since it is not a vector but a tensor of second order.
Horizontal and vertical components which need to be treated independently from each other when working out either the horizontal or vertical motion.
Its either reality based (vertical is up-down, horizontal is ground distance) or it's purely arbitrary.
The horizontal and vertical components don't change. In fact, weight is completely vertical, and has no horizontal component at all, regardless of what the object happens to be sitting on. But the components parallel to the ramp and normal to the ramp depend on the slope of the ramp.
Horizontal . . . acceleration is zero, speed is constant Vertical . . . acceleration is 'G' downward, speed constantly increases downward
The answer below assumes you are required to find the components of the vector. A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components. Both of these values equal to 1/sqrt(2) {one over square-root two}
Think about the direction that the cat is moving. Does the cat's movement have a horizontal component? Or is the movement strictly vertical?
If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).