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During which time interval does the object travel approximately 10 meters?Velocity (m/s)8104 6Time (5)A.O seconds to 3 secondsB.3 seconds to 5 secondsHERC. 15 seconds to 7 secondsD.7 seconds to 8 secondsE.8 seconds to 10 seconds​

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ANSWER

C. 5 seconds to 7 seconds

EXPLANATION

This is a velocity time graph.

We can easily read the final velocity, v, the initial velocity u and the time from the graph.

See the attachment for the initial and final velocities at each time interval.

So we can use either of the following equations to calculate the distance traveled.

s = ut +  frac {1} {2} ag ^ 2

Or

s = ( frac {u + v} {2}) t.

During the time interval 0 to 3, the distance traveled is,

s = ( frac {10 + 6} {2}) 3 = 24m.

During the 3 to 5 second time interval, the distance traveled,

s = ( frac {6 + 5} {2}) 2 = 11m.

During a time interval, the distance traveled is 5 to 7 seconds,

s = ( frac {5 + 4.9} {2}) 2 = 9.9.

 Rightarrow s  about 10m

During a time interval of 7 to 8 seconds is the distance traveled

s = ( frac {4.9 + 3} {2}) 1 = 3.95m.

During a time interval of 8 to 10 seconds is the distance traveled

s = ( frac {3 + 0} {2}) 2 = 3m.

The correct answer is C.

At what time interval does the object travel around 10 meters?  a.  0 seconds to 3 seconds