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Which of the following is true about the total distance traveled by an object fr

ID: 2885281 • Letter: W

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? Both total distance traveled is given by [vat and total distance (2 cannot be calculated. O B Total distance traveled is given by ¡r(tldt 2 ° C. Total distance cannot be calculated. O D. Total distance traveled is given by v()ldt AND total distance traveled is found by accumulation of all the velocity-time over the interval [a, b O E. Total distance traveled is found by accumulation of all the velocity time over the interval [a, b

Explanation / Answer

D IS THE CORRECT ANSWER

As we know total distance =|velocity|×time taken over entire journey.....all values are taken positive

We can also calculate graphically

Let velocity on y-axis, time on x- axis .area under v-t graph over time period a to b gives total distance

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