under what condition is average velocity equal to the average of the objects initial and final velocity?

I feel like this would be impossible because
average velocity is delta x/ delta t

and the average of the intial and and final velocity would be the velocities added together and divided by 2 ?

I have no idea I'm ver confused

Question

under what condition is average velocity equal to the average of the objects initial and final velocity?

I feel like this would be impossible because 
average velocity is delta x/ delta t 

and the average of the intial and and final velocity would be the velocities added together and divided by 2 ? 

I have no idea I'm ver confused

misty1212 · Answer

HI!!

misty1212 · Answer

i guess if the velocity was zero it would work right?

misty1212 · Answer

or for that matter, any constant velocity

anonymous · Answer

that's what I thought first and it's what I answered on my quiz but I got it wrong. 
here are the choices I was given:

a. the acceleration must be constantly changing
b. the acceleration must be constant
c. this can only occur when there is no acceleration
d. this is impossible

anonymous · Answer

I answered c but It was wrong

misty1212 · Answer

i would go with B

misty1212 · Answer

oops no sorry

misty1212 · Answer

acceleration constant means velocity is changing
no acceleration means velocity is constant

misty1212 · Answer

oh C was wrong?

anonymous · Answer

mhmm

misty1212 · Answer

and the average of the intial and and final velocity would be the velocities added together and divided by 2 ? 
is incorrect

anonymous · Answer

then what is it and how is it different from the average velocity ?

adi3 · Answer

sup

misty1212 · Answer

that is the average of two numbers

misty1212 · Answer

the average velocity is how far you travel divided by  how long it takes

adi3 · Answer

what r the options

misty1212 · Answer

like if you drive 100 miles in two hours, average velocity is 50 mph

adi3 · Answer

what r the options

anonymous · Answer

yeah I get average velocity what about average of the initial and the final ?

anonymous · Answer

final- initial / time take ?

misty1212 · Answer

actually i should be quiet, because i have no idea what "the average of the objects initial and final velocity?"

anonymous · Answer

haha it's okay thanks for trying

anonymous · Answer

@Adi3 I have the options above

misty1212 · Answer

does it mean the "average OF the velocities"? like if the initial velocity is 20 and the final is 10 then the average is 15?  makes no real sense to me

adi3 · Answer

alright, I saw the options.

anonymous · Answer

why not?

anonymous · Answer

@ganeshie8

adi3 · Answer

I think its imposible because as @1234abdc explained above.

adi3 · Answer

I would go for D

anonymous · Answer

But I'm not sure about that explanation . You guys could give me theories it's okay

adi3 · Answer

go for D

anonymous · Answer

but I need to know why

solomonzelman · Answer

wouldn't it work every time?

solomonzelman · Answer

both of them are the slope of the secant (between the 2 endpoints -   i.e.  your first and last velocities)

solomonzelman · Answer

(That is the first thing that comes to my mind. I can be wrong though, b/c I am not very good at math. )

thomas5267 · Answer

b is the correct answer.  Don't know how to explain it though.

thomas5267 · Answer

Under constant acceleration, the velocity-time graph will be a straight line.  For example, if an object accelerates from rest at  5 $\text{m s}^{-2}$, after one second its velocity will be 5 $\text{m s}^{-1}$, after two seconds its velocity will be 10 $\text{m s}^{-1}$, and after three seconds its velocity will be 15 $\text{m s}^{-1}$, and so on.  The graph would be a straight line.

phi · Answer

graph velocity as a function of time|dw:1424619391710:dw|