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If the velocity of a car traveling in a straight line at time v(t) then the difference in its odometer readings between time t=a and t=b is
A. integral a to b of the absolute value of v(t)dt
B. integral a to b of v(t)dt
C. the net displacement of the car's position from t =a to t =b
D. the change in the car's position from t = a to t = b
E. none of these

Respuesta :

xero099

Answer:

B. integral a to b of v(t) dt.

Step-by-step explanation:

The difference in the odometer reading of car travelling in a straight line between two instants is:

[tex]v(t) = \frac{ds}{dt}[/tex]

[tex]ds = v(t)\,dt[/tex]

[tex]s_{B} - s_{A} = \int\limits^{t_{b}}_{t_{a}} {v(t)} \, dt[/tex]

Hence, the right answer is B.

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