GATE ECE 2016 Set 3 | GA | Question: 6

Question

The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)?

• A. $0$
• B. $3$
• C. $4$
• D. $5$

Answer 1

Odometer is a device used to measure distance traveled by an object.
Area under Velocity-Time graph represents the distance traveled.

So, answer $= 0.5+1+1.5+1+0.5+0.5= 5 m.$

Correct Answer: $D$

Comments

@akashsheoran what about the negative velocity from time 5-7 ? Excluding that area we get 4m.

Should we include that area?

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of course yes, it means distance travelled in reverse direction which is not detected by any odometer.

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@Arjun Sir. Could you pls help. I am getting confused here -

Distance travelled by the object is - Dist travelled by moving fwd ( 0 - 4 sec) + Dist travelled in reverse direction ( 5 - 7 sec )

Total dist travelled =  4 m ( moving fwd) + 1 m ( reverse direction) = 5m

They have asked - how much will the odometer reading increase?  You said  distance travelled in reverse direction which is not detected by any odometer.

So should the ans include reverse dist covered or exclude that?

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I meant that odometer won't detect the "reverse" direction and subtract that distance.

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negative velocity means object is going in reverse direction . odometer is use to measure the distance covered so  odometer will still measure the distance cover by object , no matter what is the direction of object.

Answer 2

D. 5m