Velocity and acceleration vectors

Tags:
1. Mar 15, 2015

vizakenjack

Question #7. It says:
The (constant) acceleration points in the direction of the difference of the velocities (final minus initial).
Note how initial vector is subtracted from the final one (head to tail).

But in this video, average acceleration (change in velocity) is found by adding velocity vectors tail to tail.
And as you can see, direction of the acceleration vector is found differently than in the previous example.
Why? And how do you find acceleration vector given two velocity vectors?

Also, explanation to question 8:
"The (anti-)parallel component of the acceleration slows it."
What (anti-)parallel component??

Also, velocity vector pointing straight downward, why would indicate that an object decided to turn right?
If it's pointing downward, wouldn't it mean that a person is moving downwards with a certain velocity? No? I mean, velocity vector (direction) already shows in which direction an object is moving...

2. Mar 15, 2015

HallsofIvy

You can add vectors by setting them "head to tail" but to subtract you need to do the "opposite": "a- b" is such that b+ (a- b)= a. So set the vectors so they have the same point at their "tails" and draw the vector from the head of a to the head of b

No, you are mistaken, in that video, he is subtracting the two velocity vectors, not adding. When you put the two vectors "tail to tail", the vector connecting their heads is subtracting as I said before. To find the average acceleration, subtract the two vectors and divide by the time interval.

A vector can always be written as the sum of two vectors perpendicular to each other. A component of the acceleration vector parallel to a velocity vector changes the speed, a component perpendicular to the velocity vector gives a change in direction but no change in speed. "Anti- parallel" means parallel to but in the opposite direction.

If you are still referring to question 8, it does not say "velocity vector pointing straight downward", it say acceleration vector perpendicular to velocity vector.

3. Mar 15, 2015

Rosenti 87

#7 Constant acceleration means it magnitude and direction are constant. Your video shows the velocity and acceleration are changed time to time. So, if you want to subtract, you must have it's velocity equation.

4. Mar 15, 2015

vizakenjack

So, subtracting vectors is done by tail to tail.
right?
But in here, subtracting is still done by head to tail...

Also, in the question 7, subtracting is done by head to tail... yes, their tails have the same x component (but different y), however, connecting vector isn't drawn from the head of a to the head of b. It's rather from the tail of a to the head of b. If you assume a = v2, and b = v1

Last edited: Mar 15, 2015
5. Mar 19, 2015

vizakenjack

Alrighty, so to find an acceleration vector.
You do:

(Vf - Vi)/t

So you subtracting vectors.
In this case, first, you take Vi by its tail and position it at the tip of the Vf
Then you reverse the sign of Vi and draw a vector from tail of Vf to the head of Vi

6. Mar 19, 2015

Staff: Mentor

Moved thread, as it is more of a conceptual question than a homework question.