What are the horizontal and vertical components of a cat's displacement when it has climbed 5 m directly up a tree ?
___ meters up and ___ meters sideways
Surely you can fill in the blanks
5 meters up and 10 meters sideways
To find the horizontal and vertical components of a cat's displacement when it has climbed 5 m directly up a tree, we need to consider the right triangle formed by the horizontal and vertical components.
Let's assume the horizontal component is represented by "d_x" and the vertical component is represented by "d_y".
Given that the cat has climbed 5 m directly up, the vertical component is 5 m. Since the cat is climbing directly up, there is no horizontal displacement, so the horizontal component is 0 m.
Therefore, the horizontal component (d_x) is 0 m, and the vertical component (d_y) is 5 m.
To find the horizontal and vertical components of the cat's displacement, we need to understand the nature of displacement. Displacement is a vector quantity that represents the change in position of an object from its initial position to its final position. It has both magnitude and direction.
In this case, the cat climbed 5 meters directly up the tree. To find the horizontal and vertical components, we can consider a right-angled triangle with the hypotenuse representing the displacement of the cat and the horizontal and vertical sides representing its components.
Let's assume that the horizontal component is "x" and the vertical component is "y".
Since the cat climbed directly up the tree, the vertical component is equal to the magnitude of displacement, which is 5 meters. Therefore, y = 5 m.
The horizontal component represents the cat's motion perpendicular to the vertical direction. As the cat climbed only vertically, the horizontal component is zero, since there is no displacement in that direction. Therefore, x = 0 m.
Hence, the horizontal component (x) is 0 meters, and the vertical component (y) is 5 meters.