Which of the following is true about the total distance traveled by an object from time t = a to time t = b where v(t) represents the velocity of the object as a function of time?

A. Total distance cannot be calculated.
B.Total distance traveled is given by a~b|v(t)|dt
c.Total distance traveled is given by a~b|v(t)|dt AND total distance traveled is found by accumulation of all the VELOCITY x Time over the interval [a,b]
D. Total distance traveled is found by accumulation of all the velocity time over the interval [a,b]
E. Both total distance traveled is given by a~b|v(t)|dt and total distance cannot be calculated.

Question

Which of the following is true about the total distance traveled by an object from time t = a to time t = b where v(t) represents the velocity of the object as a function of time?

A. Total distance cannot be calculated.
B.Total distance traveled is given by  a~b|v(t)|dt
c.Total distance traveled is given by a~b|v(t)|dt AND total distance traveled is found by accumulation of all the VELOCITY x Time over the interval [a,b]
D. Total distance traveled is found by accumulation of all the velocity  time over the interval [a,b]
E. Both total distance traveled is given by a~b|v(t)|dt and total distance cannot be calculated.

anonymous · Answer

where is "the following"?

anonymous · Answer

yeah i realized that im typing it now

experimentx · Answer

D

experimentx · Answer

$$\int\limits_{a}^{b}v(t)dt$$

anonymous · Answer

so its D you say?

experimentx · Answer

yup, integration of velocity (function of time) w.r.t dt should give you area ... which would be distance

anonymous · Answer

I got it wrong it was B , thanks though.

anonymous · Answer

it was : Total distance traveled is given by $$\int\limits_{a}^{b}|v(t)|dt$$

experimentx · Answer

oh! .. i forgot, distance is always positive