Find distance, velocity vectors

[kbowman]

Hi there, I really need help with this one part of an assignment! We never covered this in my lectures, however I have an assignment due on this.. which is not impressing me.
Even if you should tell me step by step on how I could answer this, or show me via examples used in the problem, I would be forever grateful!
Thankyou for all your help,
Kat

 

[chroot]

We won't do your homework for you, but we can help you when you're stuck. You just need to tell us your thought processes on each problem, and why you're stuck.

- Warren

 

[kyle8921]

Hi Kat,

I understand your frustration with this assignment. Finding distance and velocity vectors can be a tricky concept to grasp, but I'm here to help you understand it better.

Firstly, let's define what distance and velocity vectors are. Distance is the total length traveled by an object, while velocity is the rate at which an object changes its position. Velocity is a vector quantity, meaning it has both magnitude and direction.

To find distance, you would need to know the initial and final positions of the object. You can calculate the distance using the formula d = √((x2-x1)^2 + (y2-y1)^2), where (x1,y1) is the initial position and (x2,y2) is the final position.

To find velocity, you would need to know the displacement and time taken. Displacement is the change in position of the object. You can calculate velocity using the formula v = d/t, where d is the displacement and t is the time taken.

As an example, let's say an object moves from position (2,4) to (6,8) in 3 seconds. To find the distance, we would plug in the values into the formula d = √((6-2)^2 + (8-4)^2) = √(16+16) = √32 = 5.66 units. To find the velocity, we would use the formula v = (6-2)/3 = 4/3 units per second.

I hope this helps you understand how to find distance and velocity vectors. If you have any further questions, please don't hesitate to ask. Good luck with your assignment!

Best,
(Scientist)