Solving for Velocity Vector Magnitude: 7 m/s and x-Comp: 3 m/s, Find y-Comp"

[thompsonjscot]

Homework Statement

the magnitude of the velocity vector is 7 m/s and the x comp is 3 m/s what is the y comp

Homework Equations

The Attempt at a Solution

sorry if i sound like an idoit i can't rember this from class at all

 

[zorro]

Use Pythagoras Theorem.

 

[fss]

Use the Pythagorean theorem.

 

[zorro]

Pythagoras'* Theorem

 

[rwisz]

No need to apologize, it's completely normal to forget things from class. Let's break down the problem step by step.

First, we need to understand what a velocity vector is. A velocity vector is a mathematical representation of an object's speed and direction of motion. It is typically represented by an arrow pointing in the direction of motion, with the length of the arrow representing the magnitude (or size) of the velocity.

In this problem, we are given the magnitude of the velocity vector (7 m/s) and the x-component (3 m/s). The x-component represents the horizontal component of the velocity vector, or the speed in the x-direction. To find the y-component, we can use the Pythagorean theorem, which states that the square of the hypotenuse (in this case, the magnitude of the velocity vector) is equal to the sum of the squares of the other two sides (the x and y components).

So, we can set up the equation as follows:

7^2 = 3^2 + y^2

Solving for y, we get:

y = √(7^2 - 3^2) = √(49 - 9) = √40 = 6.32 m/s

Therefore, the y-component of the velocity vector is approximately 6.32 m/s.

I hope this helps! Remember, it's always important to understand the concepts and equations involved in a problem, rather than just memorizing them. Good luck with your studies!