Possible webpage title: What Remains Constant in One-Dimensional Kinematics?

[yti1211]

The area under both curves (velocity vs time) from t =0 to t =tf is the same. Which of the following quantities is the same from t =0 to t = tf?

A. average position B. average velocity C.average accerleration D. total displacement
E. jerk( the derivative of accerleration.

THE correct answer is D, but I think B and D both work, because average v = total displacement/time. so is the answer key wrong?

THANKSSSSSS

 

[tiny-tim]

Welcome to PF!

The area under both curves (velocity vs time) from t =0 to t =tf is the same. Which of the following quantities is the same from t =0 to t = tf?

A. average position B. average velocity C.average accerleration D. total displacement
E. jerk( the derivative of accerleration.

THE correct answer is D, but I think B and D both work, because average v = total displacement/time. so is the answer key wrong?

THANKSSSSSS

Hi yti1211! Welcome to PF!

hmm … I was going to say rubbish, you don't understand this …

but I think you're right!

(Unless, of course, the curves have different t_fs:

D is correct even for different t_fs, but B is correct only for the same t_fs.)

 

[yti1211]

haha, thanks tiny-tim!